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Finding the Fourth Proportional to 663.98, 916.35 and 523.76

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Solution

The fourth proportional to 663.98, 916.35 and 523.76 is: 722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.98 : 916.35 = 523.76 : x
  2. Step 2: Convert to fraction form
    663.98/916.35 = 523.76/x
  3. Step 3: Cross multiply
    663.98x = 916.35 × 523.76
  4. Step 4: Simplify right side
    663.98x = 479,947.48
  5. Step 5: Solve for x
    x = 479,947.48/663.98
  6. Step 6: Final answer
    x = 722.83

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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.