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Finding the Fourth Proportional to 709.54, 980.04 and 512.74

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Solution

The fourth proportional to 709.54, 980.04 and 512.74 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.54 : 980.04 = 512.74 : x
  2. Step 2: Convert to fraction form
    709.54/980.04 = 512.74/x
  3. Step 3: Cross multiply
    709.54x = 980.04 × 512.74
  4. Step 4: Simplify right side
    709.54x = 502,505.71
  5. Step 5: Solve for x
    x = 502,505.71/709.54
  6. Step 6: Final answer
    x = 708.21

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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.