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Finding the Fourth Proportional to 974.59, 1,344.93 and 581.60

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Solution

The fourth proportional to 974.59, 1,344.93 and 581.60 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.59 : 1,344.93 = 581.60 : x
  2. Step 2: Convert to fraction form
    974.59/1,344.93 = 581.60/x
  3. Step 3: Cross multiply
    974.59x = 1,344.93 × 581.60
  4. Step 4: Simplify right side
    974.59x = 782,211.29
  5. Step 5: Solve for x
    x = 782,211.29/974.59
  6. Step 6: Final answer
    x = 802.61

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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.