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Finding the Fourth Proportional to 898.68, 1,354.92 and 836.04

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Solution

The fourth proportional to 898.68, 1,354.92 and 836.04 is: 1,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.68 : 1,354.92 = 836.04 : x
  2. Step 2: Convert to fraction form
    898.68/1,354.92 = 836.04/x
  3. Step 3: Cross multiply
    898.68x = 1,354.92 × 836.04
  4. Step 4: Simplify right side
    898.68x = 1,132,767.32
  5. Step 5: Solve for x
    x = 1,132,767.32/898.68
  6. Step 6: Final answer
    x = 1,260.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.