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Finding the Fourth Proportional to 974.52, 1,461.80 and 585.04

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Solution

The fourth proportional to 974.52, 1,461.80 and 585.04 is: 877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.52 : 1,461.80 = 585.04 : x
  2. Step 2: Convert to fraction form
    974.52/1,461.80 = 585.04/x
  3. Step 3: Cross multiply
    974.52x = 1,461.80 × 585.04
  4. Step 4: Simplify right side
    974.52x = 855,211.47
  5. Step 5: Solve for x
    x = 855,211.47/974.52
  6. Step 6: Final answer
    x = 877.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.