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Finding the Fourth Proportional to 1,029.81, 1,544.85 and 542.88

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Solution

The fourth proportional to 1,029.81, 1,544.85 and 542.88 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.81 : 1,544.85 = 542.88 : x
  2. Step 2: Convert to fraction form
    1,029.81/1,544.85 = 542.88/x
  3. Step 3: Cross multiply
    1,029.81x = 1,544.85 × 542.88
  4. Step 4: Simplify right side
    1,029.81x = 838,668.17
  5. Step 5: Solve for x
    x = 838,668.17/1,029.81
  6. Step 6: Final answer
    x = 814.39

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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.