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Finding the Fourth Proportional to 1,071.29, 1,478.29 and 592.65

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Solution

The fourth proportional to 1,071.29, 1,478.29 and 592.65 is: 817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.29 : 1,478.29 = 592.65 : x
  2. Step 2: Convert to fraction form
    1,071.29/1,478.29 = 592.65/x
  3. Step 3: Cross multiply
    1,071.29x = 1,478.29 × 592.65
  4. Step 4: Simplify right side
    1,071.29x = 876,108.57
  5. Step 5: Solve for x
    x = 876,108.57/1,071.29
  6. Step 6: Final answer
    x = 817.81

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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.