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Finding the Fourth Proportional to 850.60, 1,275.90 and 542.80

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Solution

The fourth proportional to 850.60, 1,275.90 and 542.80 is: 814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.60 : 1,275.90 = 542.80 : x
  2. Step 2: Convert to fraction form
    850.60/1,275.90 = 542.80/x
  3. Step 3: Cross multiply
    850.60x = 1,275.90 × 542.80
  4. Step 4: Simplify right side
    850.60x = 692,558.52
  5. Step 5: Solve for x
    x = 692,558.52/850.60
  6. Step 6: Final answer
    x = 814.20

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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.