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Finding the Fourth Proportional to 1,142.06, 1,713.36 and 411.80

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Solution

The fourth proportional to 1,142.06, 1,713.36 and 411.80 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.06 : 1,713.36 = 411.80 : x
  2. Step 2: Convert to fraction form
    1,142.06/1,713.36 = 411.80/x
  3. Step 3: Cross multiply
    1,142.06x = 1,713.36 × 411.80
  4. Step 4: Simplify right side
    1,142.06x = 705,561.65
  5. Step 5: Solve for x
    x = 705,561.65/1,142.06
  6. Step 6: Final answer
    x = 617.80

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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.