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Finding the Fourth Proportional to 865.01, 1,193.72 and 472.05

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Solution

The fourth proportional to 865.01, 1,193.72 and 472.05 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.01 : 1,193.72 = 472.05 : x
  2. Step 2: Convert to fraction form
    865.01/1,193.72 = 472.05/x
  3. Step 3: Cross multiply
    865.01x = 1,193.72 × 472.05
  4. Step 4: Simplify right side
    865.01x = 563,493.17
  5. Step 5: Solve for x
    x = 563,493.17/865.01
  6. Step 6: Final answer
    x = 651.43

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Double scale
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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.