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Finding the Fourth Proportional to 710.98, 980.97 and 487.38

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Solution

The fourth proportional to 710.98, 980.97 and 487.38 is: 672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.98 : 980.97 = 487.38 : x
  2. Step 2: Convert to fraction form
    710.98/980.97 = 487.38/x
  3. Step 3: Cross multiply
    710.98x = 980.97 × 487.38
  4. Step 4: Simplify right side
    710.98x = 478,105.16
  5. Step 5: Solve for x
    x = 478,105.16/710.98
  6. Step 6: Final answer
    x = 672.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.