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Finding the Fourth Proportional to 1,561.57, 2,342.05 and 587.34

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Solution

The fourth proportional to 1,561.57, 2,342.05 and 587.34 is: 880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.57 : 2,342.05 = 587.34 : x
  2. Step 2: Convert to fraction form
    1,561.57/2,342.05 = 587.34/x
  3. Step 3: Cross multiply
    1,561.57x = 2,342.05 × 587.34
  4. Step 4: Simplify right side
    1,561.57x = 1,375,578.18
  5. Step 5: Solve for x
    x = 1,375,578.18/1,561.57
  6. Step 6: Final answer
    x = 880.90

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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.