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Finding the Fourth Proportional to 898.64, 1,348.32 and 411.80

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Solution

The fourth proportional to 898.64, 1,348.32 and 411.80 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.64 : 1,348.32 = 411.80 : x
  2. Step 2: Convert to fraction form
    898.64/1,348.32 = 411.80/x
  3. Step 3: Cross multiply
    898.64x = 1,348.32 × 411.80
  4. Step 4: Simplify right side
    898.64x = 555,238.18
  5. Step 5: Solve for x
    x = 555,238.18/898.64
  6. Step 6: Final answer
    x = 617.86

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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.