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Finding the Fourth Proportional to 898.24, 1,348.26 and 805.72

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Solution

The fourth proportional to 898.24, 1,348.26 and 805.72 is: 1,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.24 : 1,348.26 = 805.72 : x
  2. Step 2: Convert to fraction form
    898.24/1,348.26 = 805.72/x
  3. Step 3: Cross multiply
    898.24x = 1,348.26 × 805.72
  4. Step 4: Simplify right side
    898.24x = 1,086,320.05
  5. Step 5: Solve for x
    x = 1,086,320.05/898.24
  6. Step 6: Final answer
    x = 1,209.39

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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.