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Finding the Fourth Proportional to 1,064.69, 1,469.19 and 592.59

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Solution

The fourth proportional to 1,064.69, 1,469.19 and 592.59 is: 817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.69 : 1,469.19 = 592.59 : x
  2. Step 2: Convert to fraction form
    1,064.69/1,469.19 = 592.59/x
  3. Step 3: Cross multiply
    1,064.69x = 1,469.19 × 592.59
  4. Step 4: Simplify right side
    1,064.69x = 870,627.30
  5. Step 5: Solve for x
    x = 870,627.30/1,064.69
  6. Step 6: Final answer
    x = 817.73

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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.