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Finding the Fourth Proportional to 762.89, 1,052.69 and 431.24

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Solution

The fourth proportional to 762.89, 1,052.69 and 431.24 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.89 : 1,052.69 = 431.24 : x
  2. Step 2: Convert to fraction form
    762.89/1,052.69 = 431.24/x
  3. Step 3: Cross multiply
    762.89x = 1,052.69 × 431.24
  4. Step 4: Simplify right side
    762.89x = 453,954.62
  5. Step 5: Solve for x
    x = 453,954.62/762.89
  6. Step 6: Final answer
    x = 595.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.