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Finding the Fourth Proportional to 1,116.62, 1,541.09 and 724.31

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Solution

The fourth proportional to 1,116.62, 1,541.09 and 724.31 is: 999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.62 : 1,541.09 = 724.31 : x
  2. Step 2: Convert to fraction form
    1,116.62/1,541.09 = 724.31/x
  3. Step 3: Cross multiply
    1,116.62x = 1,541.09 × 724.31
  4. Step 4: Simplify right side
    1,116.62x = 1,116,215.57
  5. Step 5: Solve for x
    x = 1,116,215.57/1,116.62
  6. Step 6: Final answer
    x = 999.64

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1.5x scale

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.