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Finding the Fourth Proportional to 974.65, 1,461.91 and 454.50

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Solution

The fourth proportional to 974.65, 1,461.91 and 454.50 is: 681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.65 : 1,461.91 = 454.50 : x
  2. Step 2: Convert to fraction form
    974.65/1,461.91 = 454.50/x
  3. Step 3: Cross multiply
    974.65x = 1,461.91 × 454.50
  4. Step 4: Simplify right side
    974.65x = 664,438.10
  5. Step 5: Solve for x
    x = 664,438.10/974.65
  6. Step 6: Final answer
    x = 681.72

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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.