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Finding the Fourth Proportional to 1,004.92, 1,506.12 and 542.68

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Solution

The fourth proportional to 1,004.92, 1,506.12 and 542.68 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.92 : 1,506.12 = 542.68 : x
  2. Step 2: Convert to fraction form
    1,004.92/1,506.12 = 542.68/x
  3. Step 3: Cross multiply
    1,004.92x = 1,506.12 × 542.68
  4. Step 4: Simplify right side
    1,004.92x = 817,341.20
  5. Step 5: Solve for x
    x = 817,341.20/1,004.92
  6. Step 6: Final answer
    x = 813.34

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