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Finding the Fourth Proportional to 898.22, 1,347.33 and 411.26

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Solution

The fourth proportional to 898.22, 1,347.33 and 411.26 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.22 : 1,347.33 = 411.26 : x
  2. Step 2: Convert to fraction form
    898.22/1,347.33 = 411.26/x
  3. Step 3: Cross multiply
    898.22x = 1,347.33 × 411.26
  4. Step 4: Simplify right side
    898.22x = 554,102.94
  5. Step 5: Solve for x
    x = 554,102.94/898.22
  6. Step 6: Final answer
    x = 616.89

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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.