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Finding the Fourth Proportional to 1,445.96, 2,169.50 and 580.88

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Solution

The fourth proportional to 1,445.96, 2,169.50 and 580.88 is: 871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.96 : 2,169.50 = 580.88 : x
  2. Step 2: Convert to fraction form
    1,445.96/2,169.50 = 580.88/x
  3. Step 3: Cross multiply
    1,445.96x = 2,169.50 × 580.88
  4. Step 4: Simplify right side
    1,445.96x = 1,260,219.16
  5. Step 5: Solve for x
    x = 1,260,219.16/1,445.96
  6. Step 6: Final answer
    x = 871.54

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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.