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Finding the Fourth Proportional to 1,142.06, 1,712.02 and 411.24

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Solution

The fourth proportional to 1,142.06, 1,712.02 and 411.24 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.06 : 1,712.02 = 411.24 : x
  2. Step 2: Convert to fraction form
    1,142.06/1,712.02 = 411.24/x
  3. Step 3: Cross multiply
    1,142.06x = 1,712.02 × 411.24
  4. Step 4: Simplify right side
    1,142.06x = 704,051.10
  5. Step 5: Solve for x
    x = 704,051.10/1,142.06
  6. Step 6: Final answer
    x = 616.47

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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.