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Finding the Fourth Proportional to 1,560.44, 2,341.01 and 586.55

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Solution

The fourth proportional to 1,560.44, 2,341.01 and 586.55 is: 879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.44 : 2,341.01 = 586.55 : x
  2. Step 2: Convert to fraction form
    1,560.44/2,341.01 = 586.55/x
  3. Step 3: Cross multiply
    1,560.44x = 2,341.01 × 586.55
  4. Step 4: Simplify right side
    1,560.44x = 1,373,126.73
  5. Step 5: Solve for x
    x = 1,373,126.73/1,560.44
  6. Step 6: Final answer
    x = 879.96

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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.