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Finding the Fourth Proportional to 1,349.06, 2,023.49 and 375.23

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Solution

The fourth proportional to 1,349.06, 2,023.49 and 375.23 is: 562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.06 : 2,023.49 = 375.23 : x
  2. Step 2: Convert to fraction form
    1,349.06/2,023.49 = 375.23/x
  3. Step 3: Cross multiply
    1,349.06x = 2,023.49 × 375.23
  4. Step 4: Simplify right side
    1,349.06x = 759,280.15
  5. Step 5: Solve for x
    x = 759,280.15/1,349.06
  6. Step 6: Final answer
    x = 562.82

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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.