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Finding the Fourth Proportional to 1,414.86, 2,122.26 and 593.70

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Solution

The fourth proportional to 1,414.86, 2,122.26 and 593.70 is: 890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.86 : 2,122.26 = 593.70 : x
  2. Step 2: Convert to fraction form
    1,414.86/2,122.26 = 593.70/x
  3. Step 3: Cross multiply
    1,414.86x = 2,122.26 × 593.70
  4. Step 4: Simplify right side
    1,414.86x = 1,259,985.76
  5. Step 5: Solve for x
    x = 1,259,985.76/1,414.86
  6. Step 6: Final answer
    x = 890.54

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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.