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Finding the Fourth Proportional to 974.88, 1,463.40 and 608.76

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Solution

The fourth proportional to 974.88, 1,463.40 and 608.76 is: 913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,463.40 = 608.76 : x
  2. Step 2: Convert to fraction form
    974.88/1,463.40 = 608.76/x
  3. Step 3: Cross multiply
    974.88x = 1,463.40 × 608.76
  4. Step 4: Simplify right side
    974.88x = 890,859.38
  5. Step 5: Solve for x
    x = 890,859.38/974.88
  6. Step 6: Final answer
    x = 913.81

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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.