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Finding the Fourth Proportional to 1,142.40, 1,712.91 and 411.69

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Solution

The fourth proportional to 1,142.40, 1,712.91 and 411.69 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,712.91 = 411.69 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,712.91 = 411.69/x
  3. Step 3: Cross multiply
    1,142.40x = 1,712.91 × 411.69
  4. Step 4: Simplify right side
    1,142.40x = 705,187.92
  5. Step 5: Solve for x
    x = 705,187.92/1,142.40
  6. Step 6: Final answer
    x = 617.29

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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.