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Finding the Fourth Proportional to 784.60, 1,178.10 and 542.20

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Solution

The fourth proportional to 784.60, 1,178.10 and 542.20 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.60 : 1,178.10 = 542.20 : x
  2. Step 2: Convert to fraction form
    784.60/1,178.10 = 542.20/x
  3. Step 3: Cross multiply
    784.60x = 1,178.10 × 542.20
  4. Step 4: Simplify right side
    784.60x = 638,765.82
  5. Step 5: Solve for x
    x = 638,765.82/784.60
  6. Step 6: Final answer
    x = 814.13

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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.