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Finding the Fourth Proportional to 898.96, 1,240.80 and 724

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Solution

The fourth proportional to 898.96, 1,240.80 and 724 is: 999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.96 : 1,240.80 = 724 : x
  2. Step 2: Convert to fraction form
    898.96/1,240.80 = 724/x
  3. Step 3: Cross multiply
    898.96x = 1,240.80 × 724
  4. Step 4: Simplify right side
    898.96x = 898,339.20
  5. Step 5: Solve for x
    x = 898,339.20/898.96
  6. Step 6: Final answer
    x = 999.31

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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.