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Finding the Fourth Proportional to 974.96, 1,461 and 585.04

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Solution

The fourth proportional to 974.96, 1,461 and 585.04 is: 876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.96 : 1,461 = 585.04 : x
  2. Step 2: Convert to fraction form
    974.96/1,461 = 585.04/x
  3. Step 3: Cross multiply
    974.96x = 1,461 × 585.04
  4. Step 4: Simplify right side
    974.96x = 854,743.44
  5. Step 5: Solve for x
    x = 854,743.44/974.96
  6. Step 6: Final answer
    x = 876.70

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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.