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Finding the Fourth Proportional to 648.76, 972.82 and 283.39

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Solution

The fourth proportional to 648.76, 972.82 and 283.39 is: 424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 972.82 = 283.39 : x
  2. Step 2: Convert to fraction form
    648.76/972.82 = 283.39/x
  3. Step 3: Cross multiply
    648.76x = 972.82 × 283.39
  4. Step 4: Simplify right side
    648.76x = 275,687.46
  5. Step 5: Solve for x
    x = 275,687.46/648.76
  6. Step 6: Final answer
    x = 424.95

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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.