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Finding the Fourth Proportional to 974.89, 1,344.97 and 582.04

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Solution

The fourth proportional to 974.89, 1,344.97 and 582.04 is: 802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.89 : 1,344.97 = 582.04 : x
  2. Step 2: Convert to fraction form
    974.89/1,344.97 = 582.04/x
  3. Step 3: Cross multiply
    974.89x = 1,344.97 × 582.04
  4. Step 4: Simplify right side
    974.89x = 782,826.34
  5. Step 5: Solve for x
    x = 782,826.34/974.89
  6. Step 6: Final answer
    x = 802.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.