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Finding the Fourth Proportional to 715.20, 998.85 and 715.20

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Solution

The fourth proportional to 715.20, 998.85 and 715.20 is: 998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.20 : 998.85 = 715.20 : x
  2. Step 2: Convert to fraction form
    715.20/998.85 = 715.20/x
  3. Step 3: Cross multiply
    715.20x = 998.85 × 715.20
  4. Step 4: Simplify right side
    715.20x = 714,377.52
  5. Step 5: Solve for x
    x = 714,377.52/715.20
  6. Step 6: Final answer
    x = 998.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.