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Finding the Fourth Proportional to 1,064.57, 1,469.18 and 592.50

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Solution

The fourth proportional to 1,064.57, 1,469.18 and 592.50 is: 817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.57 : 1,469.18 = 592.50 : x
  2. Step 2: Convert to fraction form
    1,064.57/1,469.18 = 592.50/x
  3. Step 3: Cross multiply
    1,064.57x = 1,469.18 × 592.50
  4. Step 4: Simplify right side
    1,064.57x = 870,489.15
  5. Step 5: Solve for x
    x = 870,489.15/1,064.57
  6. Step 6: Final answer
    x = 817.69

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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.