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Finding the Fourth Proportional to 762.96, 1,052.88 and 431.40

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Solution

The fourth proportional to 762.96, 1,052.88 and 431.40 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.96 : 1,052.88 = 431.40 : x
  2. Step 2: Convert to fraction form
    762.96/1,052.88 = 431.40/x
  3. Step 3: Cross multiply
    762.96x = 1,052.88 × 431.40
  4. Step 4: Simplify right side
    762.96x = 454,212.43
  5. Step 5: Solve for x
    x = 454,212.43/762.96
  6. Step 6: Final answer
    x = 595.33

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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.