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Finding the Fourth Proportional to 867.74, 1,299.45 and 542.12

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Solution

The fourth proportional to 867.74, 1,299.45 and 542.12 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.74 : 1,299.45 = 542.12 : x
  2. Step 2: Convert to fraction form
    867.74/1,299.45 = 542.12/x
  3. Step 3: Cross multiply
    867.74x = 1,299.45 × 542.12
  4. Step 4: Simplify right side
    867.74x = 704,457.83
  5. Step 5: Solve for x
    x = 704,457.83/867.74
  6. Step 6: Final answer
    x = 811.83

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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.