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Finding the Fourth Proportional to 1,069.16, 1,603.64 and 724.71

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Solution

The fourth proportional to 1,069.16, 1,603.64 and 724.71 is: 1,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.16 : 1,603.64 = 724.71 : x
  2. Step 2: Convert to fraction form
    1,069.16/1,603.64 = 724.71/x
  3. Step 3: Cross multiply
    1,069.16x = 1,603.64 × 724.71
  4. Step 4: Simplify right side
    1,069.16x = 1,162,168.67
  5. Step 5: Solve for x
    x = 1,162,168.67/1,069.16
  6. Step 6: Final answer
    x = 1,086.99

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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.