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Finding the Fourth Proportional to 898.81, 1,348.37 and 411.90

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Solution

The fourth proportional to 898.81, 1,348.37 and 411.90 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.81 : 1,348.37 = 411.90 : x
  2. Step 2: Convert to fraction form
    898.81/1,348.37 = 411.90/x
  3. Step 3: Cross multiply
    898.81x = 1,348.37 × 411.90
  4. Step 4: Simplify right side
    898.81x = 555,391.54
  5. Step 5: Solve for x
    x = 555,391.54/898.81
  6. Step 6: Final answer
    x = 617.92

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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.