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Finding the Fourth Proportional to 790.78, 1,091.72 and 542.46

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Solution

The fourth proportional to 790.78, 1,091.72 and 542.46 is: 748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.78 : 1,091.72 = 542.46 : x
  2. Step 2: Convert to fraction form
    790.78/1,091.72 = 542.46/x
  3. Step 3: Cross multiply
    790.78x = 1,091.72 × 542.46
  4. Step 4: Simplify right side
    790.78x = 592,214.43
  5. Step 5: Solve for x
    x = 592,214.43/790.78
  6. Step 6: Final answer
    x = 748.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.