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Finding the Fourth Proportional to 1,117.24, 1,541.40 and 724

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Solution

The fourth proportional to 1,117.24, 1,541.40 and 724 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.24 : 1,541.40 = 724 : x
  2. Step 2: Convert to fraction form
    1,117.24/1,541.40 = 724/x
  3. Step 3: Cross multiply
    1,117.24x = 1,541.40 × 724
  4. Step 4: Simplify right side
    1,117.24x = 1,115,973.60
  5. Step 5: Solve for x
    x = 1,115,973.60/1,117.24
  6. Step 6: Final answer
    x = 998.87

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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.