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Finding the Fourth Proportional to 1,130.75, 1,696.19 and 437.53

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Solution

The fourth proportional to 1,130.75, 1,696.19 and 437.53 is: 656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.75 : 1,696.19 = 437.53 : x
  2. Step 2: Convert to fraction form
    1,130.75/1,696.19 = 437.53/x
  3. Step 3: Cross multiply
    1,130.75x = 1,696.19 × 437.53
  4. Step 4: Simplify right side
    1,130.75x = 742,125.53
  5. Step 5: Solve for x
    x = 742,125.53/1,130.75
  6. Step 6: Final answer
    x = 656.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.