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Finding the Fourth Proportional to 663.74, 915.52 and 505.79

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Solution

The fourth proportional to 663.74, 915.52 and 505.79 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.74 : 915.52 = 505.79 : x
  2. Step 2: Convert to fraction form
    663.74/915.52 = 505.79/x
  3. Step 3: Cross multiply
    663.74x = 915.52 × 505.79
  4. Step 4: Simplify right side
    663.74x = 463,060.86
  5. Step 5: Solve for x
    x = 463,060.86/663.74
  6. Step 6: Final answer
    x = 697.65

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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.