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Finding the Fourth Proportional to 1,005.27, 1,506.83 and 542.92

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Solution

The fourth proportional to 1,005.27, 1,506.83 and 542.92 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.27 : 1,506.83 = 542.92 : x
  2. Step 2: Convert to fraction form
    1,005.27/1,506.83 = 542.92/x
  3. Step 3: Cross multiply
    1,005.27x = 1,506.83 × 542.92
  4. Step 4: Simplify right side
    1,005.27x = 818,080.61
  5. Step 5: Solve for x
    x = 818,080.61/1,005.27
  6. Step 6: Final answer
    x = 813.80

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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.