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Finding the Fourth Proportional to 1,486.86, 2,231.20 and 562.55

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Solution

The fourth proportional to 1,486.86, 2,231.20 and 562.55 is: 844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.86 : 2,231.20 = 562.55 : x
  2. Step 2: Convert to fraction form
    1,486.86/2,231.20 = 562.55/x
  3. Step 3: Cross multiply
    1,486.86x = 2,231.20 × 562.55
  4. Step 4: Simplify right side
    1,486.86x = 1,255,147.94
  5. Step 5: Solve for x
    x = 1,255,147.94/1,486.86
  6. Step 6: Final answer
    x = 844.16

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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.