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Finding the Fourth Proportional to 851.65, 1,275.58 and 542.73

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Solution

The fourth proportional to 851.65, 1,275.58 and 542.73 is: 812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.65 : 1,275.58 = 542.73 : x
  2. Step 2: Convert to fraction form
    851.65/1,275.58 = 542.73/x
  3. Step 3: Cross multiply
    851.65x = 1,275.58 × 542.73
  4. Step 4: Simplify right side
    851.65x = 692,301.00
  5. Step 5: Solve for x
    x = 692,301.00/851.65
  6. Step 6: Final answer
    x = 812.90

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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.