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Finding the Fourth Proportional to 1,142.04, 1,712.03 and 411.11

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Solution

The fourth proportional to 1,142.04, 1,712.03 and 411.11 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,712.03 = 411.11 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,712.03 = 411.11/x
  3. Step 3: Cross multiply
    1,142.04x = 1,712.03 × 411.11
  4. Step 4: Simplify right side
    1,142.04x = 703,824.09
  5. Step 5: Solve for x
    x = 703,824.09/1,142.04
  6. Step 6: Final answer
    x = 616.29

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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.