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Finding the Fourth Proportional to 898.61, 1,347.18 and 411.39

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Solution

The fourth proportional to 898.61, 1,347.18 and 411.39 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.61 : 1,347.18 = 411.39 : x
  2. Step 2: Convert to fraction form
    898.61/1,347.18 = 411.39/x
  3. Step 3: Cross multiply
    898.61x = 1,347.18 × 411.39
  4. Step 4: Simplify right side
    898.61x = 554,216.38
  5. Step 5: Solve for x
    x = 554,216.38/898.61
  6. Step 6: Final answer
    x = 616.75

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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.