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Finding the Fourth Proportional to 1,112.96, 1,535.84 and 615.59

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Solution

The fourth proportional to 1,112.96, 1,535.84 and 615.59 is: 849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.96 : 1,535.84 = 615.59 : x
  2. Step 2: Convert to fraction form
    1,112.96/1,535.84 = 615.59/x
  3. Step 3: Cross multiply
    1,112.96x = 1,535.84 × 615.59
  4. Step 4: Simplify right side
    1,112.96x = 945,454.78
  5. Step 5: Solve for x
    x = 945,454.78/1,112.96
  6. Step 6: Final answer
    x = 849.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.