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Finding the Fourth Proportional to 974, 1,459.76 and 454

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Solution

The fourth proportional to 974, 1,459.76 and 454 is: 680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,459.76 = 454 : x
  2. Step 2: Convert to fraction form
    974/1,459.76 = 454/x
  3. Step 3: Cross multiply
    974x = 1,459.76 × 454
  4. Step 4: Simplify right side
    974x = 662,731.04
  5. Step 5: Solve for x
    x = 662,731.04/974
  6. Step 6: Final answer
    x = 680.42

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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.