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Finding the Fourth Proportional to 710.06, 980.25 and 500.87

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Solution

The fourth proportional to 710.06, 980.25 and 500.87 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.06 : 980.25 = 500.87 : x
  2. Step 2: Convert to fraction form
    710.06/980.25 = 500.87/x
  3. Step 3: Cross multiply
    710.06x = 980.25 × 500.87
  4. Step 4: Simplify right side
    710.06x = 490,972.92
  5. Step 5: Solve for x
    x = 490,972.92/710.06
  6. Step 6: Final answer
    x = 691.46

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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.