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Finding the Fourth Proportional to 762.34, 1,143.14 and 502.32

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Solution

The fourth proportional to 762.34, 1,143.14 and 502.32 is: 753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,143.14 = 502.32 : x
  2. Step 2: Convert to fraction form
    762.34/1,143.14 = 502.32/x
  3. Step 3: Cross multiply
    762.34x = 1,143.14 × 502.32
  4. Step 4: Simplify right side
    762.34x = 574,222.08
  5. Step 5: Solve for x
    x = 574,222.08/762.34
  6. Step 6: Final answer
    x = 753.24

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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.