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Finding the Fourth Proportional to 691.52, 953.76 and 608.96

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Solution

The fourth proportional to 691.52, 953.76 and 608.96 is: 839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 953.76 = 608.96 : x
  2. Step 2: Convert to fraction form
    691.52/953.76 = 608.96/x
  3. Step 3: Cross multiply
    691.52x = 953.76 × 608.96
  4. Step 4: Simplify right side
    691.52x = 580,801.69
  5. Step 5: Solve for x
    x = 580,801.69/691.52
  6. Step 6: Final answer
    x = 839.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.