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Finding the Fourth Proportional to 762.36, 1,052.22 and 631.14

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Solution

The fourth proportional to 762.36, 1,052.22 and 631.14 is: 871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.36 : 1,052.22 = 631.14 : x
  2. Step 2: Convert to fraction form
    762.36/1,052.22 = 631.14/x
  3. Step 3: Cross multiply
    762.36x = 1,052.22 × 631.14
  4. Step 4: Simplify right side
    762.36x = 664,098.13
  5. Step 5: Solve for x
    x = 664,098.13/762.36
  6. Step 6: Final answer
    x = 871.11

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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.