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Finding the Fourth Proportional to 762.89, 1,052.80 and 431.29

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Solution

The fourth proportional to 762.89, 1,052.80 and 431.29 is: 595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.89 : 1,052.80 = 431.29 : x
  2. Step 2: Convert to fraction form
    762.89/1,052.80 = 431.29/x
  3. Step 3: Cross multiply
    762.89x = 1,052.80 × 431.29
  4. Step 4: Simplify right side
    762.89x = 454,062.11
  5. Step 5: Solve for x
    x = 454,062.11/762.89
  6. Step 6: Final answer
    x = 595.19

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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.