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Finding the Fourth Proportional to 1,349.64, 2,025.90 and 580.68

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Solution

The fourth proportional to 1,349.64, 2,025.90 and 580.68 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.64 : 2,025.90 = 580.68 : x
  2. Step 2: Convert to fraction form
    1,349.64/2,025.90 = 580.68/x
  3. Step 3: Cross multiply
    1,349.64x = 2,025.90 × 580.68
  4. Step 4: Simplify right side
    1,349.64x = 1,176,399.61
  5. Step 5: Solve for x
    x = 1,176,399.61/1,349.64
  6. Step 6: Final answer
    x = 871.64

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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.