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Finding the Fourth Proportional to 865.30, 1,194.09 and 533.62

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Solution

The fourth proportional to 865.30, 1,194.09 and 533.62 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.30 : 1,194.09 = 533.62 : x
  2. Step 2: Convert to fraction form
    865.30/1,194.09 = 533.62/x
  3. Step 3: Cross multiply
    865.30x = 1,194.09 × 533.62
  4. Step 4: Simplify right side
    865.30x = 637,190.31
  5. Step 5: Solve for x
    x = 637,190.31/865.30
  6. Step 6: Final answer
    x = 736.38

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Half scale
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Double scale
Find fourth proportional to 866.30, 1,195.47 and 534.62
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.