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Finding the Fourth Proportional to 1,061.41, 1,591.50 and 411.39

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Solution

The fourth proportional to 1,061.41, 1,591.50 and 411.39 is: 616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.41 : 1,591.50 = 411.39 : x
  2. Step 2: Convert to fraction form
    1,061.41/1,591.50 = 411.39/x
  3. Step 3: Cross multiply
    1,061.41x = 1,591.50 × 411.39
  4. Step 4: Simplify right side
    1,061.41x = 654,719.23
  5. Step 5: Solve for x
    x = 654,719.23/1,061.41
  6. Step 6: Final answer
    x = 616.84

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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.