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Finding the Fourth Proportional to 1,349.13, 2,023.76 and 828.81

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Solution

The fourth proportional to 1,349.13, 2,023.76 and 828.81 is: 1,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.13 : 2,023.76 = 828.81 : x
  2. Step 2: Convert to fraction form
    1,349.13/2,023.76 = 828.81/x
  3. Step 3: Cross multiply
    1,349.13x = 2,023.76 × 828.81
  4. Step 4: Simplify right side
    1,349.13x = 1,677,306.57
  5. Step 5: Solve for x
    x = 1,677,306.57/1,349.13
  6. Step 6: Final answer
    x = 1,243.25

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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.