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Finding the Fourth Proportional to 1,353.39, 2,030.31 and 531.78

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Solution

The fourth proportional to 1,353.39, 2,030.31 and 531.78 is: 797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.39 : 2,030.31 = 531.78 : x
  2. Step 2: Convert to fraction form
    1,353.39/2,030.31 = 531.78/x
  3. Step 3: Cross multiply
    1,353.39x = 2,030.31 × 531.78
  4. Step 4: Simplify right side
    1,353.39x = 1,079,678.25
  5. Step 5: Solve for x
    x = 1,079,678.25/1,353.39
  6. Step 6: Final answer
    x = 797.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.