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Finding the Fourth Proportional to 1,029.24, 1,543.88 and 379.88

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Solution

The fourth proportional to 1,029.24, 1,543.88 and 379.88 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.24 : 1,543.88 = 379.88 : x
  2. Step 2: Convert to fraction form
    1,029.24/1,543.88 = 379.88/x
  3. Step 3: Cross multiply
    1,029.24x = 1,543.88 × 379.88
  4. Step 4: Simplify right side
    1,029.24x = 586,489.13
  5. Step 5: Solve for x
    x = 586,489.13/1,029.24
  6. Step 6: Final answer
    x = 569.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.