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Finding the Fourth Proportional to 675.33, 930.85 and 527.70

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Solution

The fourth proportional to 675.33, 930.85 and 527.70 is: 727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.33 : 930.85 = 527.70 : x
  2. Step 2: Convert to fraction form
    675.33/930.85 = 527.70/x
  3. Step 3: Cross multiply
    675.33x = 930.85 × 527.70
  4. Step 4: Simplify right side
    675.33x = 491,209.55
  5. Step 5: Solve for x
    x = 491,209.55/675.33
  6. Step 6: Final answer
    x = 727.36

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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.