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Finding the Fourth Proportional to 898.74, 1,347.63 and 411.36

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Solution

The fourth proportional to 898.74, 1,347.63 and 411.36 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.74 : 1,347.63 = 411.36 : x
  2. Step 2: Convert to fraction form
    898.74/1,347.63 = 411.36/x
  3. Step 3: Cross multiply
    898.74x = 1,347.63 × 411.36
  4. Step 4: Simplify right side
    898.74x = 554,361.08
  5. Step 5: Solve for x
    x = 554,361.08/898.74
  6. Step 6: Final answer
    x = 616.82

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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.