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Finding the Fourth Proportional to 1,016.60, 1,524.90 and 734.12

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Solution

The fourth proportional to 1,016.60, 1,524.90 and 734.12 is: 1,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.60 : 1,524.90 = 734.12 : x
  2. Step 2: Convert to fraction form
    1,016.60/1,524.90 = 734.12/x
  3. Step 3: Cross multiply
    1,016.60x = 1,524.90 × 734.12
  4. Step 4: Simplify right side
    1,016.60x = 1,119,459.59
  5. Step 5: Solve for x
    x = 1,119,459.59/1,016.60
  6. Step 6: Final answer
    x = 1,101.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.