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Finding the Fourth Proportional to 1,064.17, 1,468.57 and 592.10

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Solution

The fourth proportional to 1,064.17, 1,468.57 and 592.10 is: 817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.17 : 1,468.57 = 592.10 : x
  2. Step 2: Convert to fraction form
    1,064.17/1,468.57 = 592.10/x
  3. Step 3: Cross multiply
    1,064.17x = 1,468.57 × 592.10
  4. Step 4: Simplify right side
    1,064.17x = 869,540.30
  5. Step 5: Solve for x
    x = 869,540.30/1,064.17
  6. Step 6: Final answer
    x = 817.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.