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Finding the Fourth Proportional to 974.61, 1,461.53 and 461.25

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Solution

The fourth proportional to 974.61, 1,461.53 and 461.25 is: 691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,461.53 = 461.25 : x
  2. Step 2: Convert to fraction form
    974.61/1,461.53 = 461.25/x
  3. Step 3: Cross multiply
    974.61x = 1,461.53 × 461.25
  4. Step 4: Simplify right side
    974.61x = 674,128.41
  5. Step 5: Solve for x
    x = 674,128.41/974.61
  6. Step 6: Final answer
    x = 691.69

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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.