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Finding the Fourth Proportional to 974.67, 1,461.95 and 397.53

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Solution

The fourth proportional to 974.67, 1,461.95 and 397.53 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.67 : 1,461.95 = 397.53 : x
  2. Step 2: Convert to fraction form
    974.67/1,461.95 = 397.53/x
  3. Step 3: Cross multiply
    974.67x = 1,461.95 × 397.53
  4. Step 4: Simplify right side
    974.67x = 581,167.00
  5. Step 5: Solve for x
    x = 581,167.00/974.67
  6. Step 6: Final answer
    x = 596.27

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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.