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Finding the Fourth Proportional to 652.50, 980.12 and 497.89

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Solution

The fourth proportional to 652.50, 980.12 and 497.89 is: 747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 980.12 = 497.89 : x
  2. Step 2: Convert to fraction form
    652.50/980.12 = 497.89/x
  3. Step 3: Cross multiply
    652.50x = 980.12 × 497.89
  4. Step 4: Simplify right side
    652.50x = 487,987.01
  5. Step 5: Solve for x
    x = 487,987.01/652.50
  6. Step 6: Final answer
    x = 747.87

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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.