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Finding the Fourth Proportional to 654.88, 980.56 and 512.72

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Solution

The fourth proportional to 654.88, 980.56 and 512.72 is: 767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 980.56 = 512.72 : x
  2. Step 2: Convert to fraction form
    654.88/980.56 = 512.72/x
  3. Step 3: Cross multiply
    654.88x = 980.56 × 512.72
  4. Step 4: Simplify right side
    654.88x = 502,752.72
  5. Step 5: Solve for x
    x = 502,752.72/654.88
  6. Step 6: Final answer
    x = 767.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.