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Finding the Fourth Proportional to 1,142.34, 1,713.40 and 411.93

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Solution

The fourth proportional to 1,142.34, 1,713.40 and 411.93 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,713.40 = 411.93 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,713.40 = 411.93/x
  3. Step 3: Cross multiply
    1,142.34x = 1,713.40 × 411.93
  4. Step 4: Simplify right side
    1,142.34x = 705,790.24
  5. Step 5: Solve for x
    x = 705,790.24/1,142.34
  6. Step 6: Final answer
    x = 617.85

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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.