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Finding the Fourth Proportional to 898.56, 1,347.44 and 411.75

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Solution

The fourth proportional to 898.56, 1,347.44 and 411.75 is: 617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,347.44 = 411.75 : x
  2. Step 2: Convert to fraction form
    898.56/1,347.44 = 411.75/x
  3. Step 3: Cross multiply
    898.56x = 1,347.44 × 411.75
  4. Step 4: Simplify right side
    898.56x = 554,806.36
  5. Step 5: Solve for x
    x = 554,806.36/898.56
  6. Step 6: Final answer
    x = 617.44

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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.