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Finding the Fourth Proportional to 1,029.20, 1,542.71 and 379.71

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Solution

The fourth proportional to 1,029.20, 1,542.71 and 379.71 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,542.71 = 379.71 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,542.71 = 379.71/x
  3. Step 3: Cross multiply
    1,029.20x = 1,542.71 × 379.71
  4. Step 4: Simplify right side
    1,029.20x = 585,783.36
  5. Step 5: Solve for x
    x = 585,783.36/1,029.20
  6. Step 6: Final answer
    x = 569.17

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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.