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Finding the Fourth Proportional to 898.70, 1,349.28 and 694.58

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Solution

The fourth proportional to 898.70, 1,349.28 and 694.58 is: 1,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.70 : 1,349.28 = 694.58 : x
  2. Step 2: Convert to fraction form
    898.70/1,349.28 = 694.58/x
  3. Step 3: Cross multiply
    898.70x = 1,349.28 × 694.58
  4. Step 4: Simplify right side
    898.70x = 937,182.90
  5. Step 5: Solve for x
    x = 937,182.90/898.70
  6. Step 6: Final answer
    x = 1,042.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.