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Finding the Fourth Proportional to 765.23, 1,147.47 and 545.73

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Solution

The fourth proportional to 765.23, 1,147.47 and 545.73 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.23 : 1,147.47 = 545.73 : x
  2. Step 2: Convert to fraction form
    765.23/1,147.47 = 545.73/x
  3. Step 3: Cross multiply
    765.23x = 1,147.47 × 545.73
  4. Step 4: Simplify right side
    765.23x = 626,208.80
  5. Step 5: Solve for x
    x = 626,208.80/765.23
  6. Step 6: Final answer
    x = 818.33

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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.