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Finding the Fourth Proportional to 898.20, 1,347.60 and 801.42

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Solution

The fourth proportional to 898.20, 1,347.60 and 801.42 is: 1,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.20 : 1,347.60 = 801.42 : x
  2. Step 2: Convert to fraction form
    898.20/1,347.60 = 801.42/x
  3. Step 3: Cross multiply
    898.20x = 1,347.60 × 801.42
  4. Step 4: Simplify right side
    898.20x = 1,079,993.59
  5. Step 5: Solve for x
    x = 1,079,993.59/898.20
  6. Step 6: Final answer
    x = 1,202.40

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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.