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Finding the Fourth Proportional to 1,487.26, 2,230.84 and 561.74

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Solution

The fourth proportional to 1,487.26, 2,230.84 and 561.74 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.26 : 2,230.84 = 561.74 : x
  2. Step 2: Convert to fraction form
    1,487.26/2,230.84 = 561.74/x
  3. Step 3: Cross multiply
    1,487.26x = 2,230.84 × 561.74
  4. Step 4: Simplify right side
    1,487.26x = 1,253,141.61
  5. Step 5: Solve for x
    x = 1,253,141.61/1,487.26
  6. Step 6: Final answer
    x = 842.58

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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.