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Finding the Fourth Proportional to 1,423.43, 2,135.20 and 545.82

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Solution

The fourth proportional to 1,423.43, 2,135.20 and 545.82 is: 818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.43 : 2,135.20 = 545.82 : x
  2. Step 2: Convert to fraction form
    1,423.43/2,135.20 = 545.82/x
  3. Step 3: Cross multiply
    1,423.43x = 2,135.20 × 545.82
  4. Step 4: Simplify right side
    1,423.43x = 1,165,434.86
  5. Step 5: Solve for x
    x = 1,165,434.86/1,423.43
  6. Step 6: Final answer
    x = 818.75

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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.