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Finding the Fourth Proportional to 711.54, 982.80 and 514.74

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Solution

The fourth proportional to 711.54, 982.80 and 514.74 is: 710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.54 : 982.80 = 514.74 : x
  2. Step 2: Convert to fraction form
    711.54/982.80 = 514.74/x
  3. Step 3: Cross multiply
    711.54x = 982.80 × 514.74
  4. Step 4: Simplify right side
    711.54x = 505,886.47
  5. Step 5: Solve for x
    x = 505,886.47/711.54
  6. Step 6: Final answer
    x = 710.97

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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.