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Finding the Fourth Proportional to 1,124.10, 1,685.72 and 343.86

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Solution

The fourth proportional to 1,124.10, 1,685.72 and 343.86 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.10 : 1,685.72 = 343.86 : x
  2. Step 2: Convert to fraction form
    1,124.10/1,685.72 = 343.86/x
  3. Step 3: Cross multiply
    1,124.10x = 1,685.72 × 343.86
  4. Step 4: Simplify right side
    1,124.10x = 579,658.86
  5. Step 5: Solve for x
    x = 579,658.86/1,124.10
  6. Step 6: Final answer
    x = 515.66

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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.