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Finding the Fourth Proportional to 710.72, 980.50 and 513.80

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Solution

The fourth proportional to 710.72, 980.50 and 513.80 is: 708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 980.50 = 513.80 : x
  2. Step 2: Convert to fraction form
    710.72/980.50 = 513.80/x
  3. Step 3: Cross multiply
    710.72x = 980.50 × 513.80
  4. Step 4: Simplify right side
    710.72x = 503,780.90
  5. Step 5: Solve for x
    x = 503,780.90/710.72
  6. Step 6: Final answer
    x = 708.83

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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.