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Finding the Fourth Proportional to 1,132.46, 1,562.69 and 690.29

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Solution

The fourth proportional to 1,132.46, 1,562.69 and 690.29 is: 952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.46 : 1,562.69 = 690.29 : x
  2. Step 2: Convert to fraction form
    1,132.46/1,562.69 = 690.29/x
  3. Step 3: Cross multiply
    1,132.46x = 1,562.69 × 690.29
  4. Step 4: Simplify right side
    1,132.46x = 1,078,698.02
  5. Step 5: Solve for x
    x = 1,078,698.02/1,132.46
  6. Step 6: Final answer
    x = 952.53

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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.