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Finding the Fourth Proportional to 974.50, 1,344.40 and 581.45

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Solution

The fourth proportional to 974.50, 1,344.40 and 581.45 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,344.40 = 581.45 : x
  2. Step 2: Convert to fraction form
    974.50/1,344.40 = 581.45/x
  3. Step 3: Cross multiply
    974.50x = 1,344.40 × 581.45
  4. Step 4: Simplify right side
    974.50x = 781,693.20
  5. Step 5: Solve for x
    x = 781,693.20/974.50
  6. Step 6: Final answer
    x = 802.15

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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.