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Finding the Fourth Proportional to 898.98, 1,347.11 and 411.46

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Solution

The fourth proportional to 898.98, 1,347.11 and 411.46 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.98 : 1,347.11 = 411.46 : x
  2. Step 2: Convert to fraction form
    898.98/1,347.11 = 411.46/x
  3. Step 3: Cross multiply
    898.98x = 1,347.11 × 411.46
  4. Step 4: Simplify right side
    898.98x = 554,281.51
  5. Step 5: Solve for x
    x = 554,281.51/898.98
  6. Step 6: Final answer
    x = 616.57

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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.