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Finding the Fourth Proportional to 867.69, 1,301.54 and 542.61

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Solution

The fourth proportional to 867.69, 1,301.54 and 542.61 is: 813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.69 : 1,301.54 = 542.61 : x
  2. Step 2: Convert to fraction form
    867.69/1,301.54 = 542.61/x
  3. Step 3: Cross multiply
    867.69x = 1,301.54 × 542.61
  4. Step 4: Simplify right side
    867.69x = 706,225.91
  5. Step 5: Solve for x
    x = 706,225.91/867.69
  6. Step 6: Final answer
    x = 813.92

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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.