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Finding the Fourth Proportional to 710.20, 979.01 and 499.69

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Solution

The fourth proportional to 710.20, 979.01 and 499.69 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.20 : 979.01 = 499.69 : x
  2. Step 2: Convert to fraction form
    710.20/979.01 = 499.69/x
  3. Step 3: Cross multiply
    710.20x = 979.01 × 499.69
  4. Step 4: Simplify right side
    710.20x = 489,196.61
  5. Step 5: Solve for x
    x = 489,196.61/710.20
  6. Step 6: Final answer
    x = 688.82

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