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Finding the Fourth Proportional to 1,032.52, 1,426.10 and 794.78

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Solution

The fourth proportional to 1,032.52, 1,426.10 and 794.78 is: 1,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.52 : 1,426.10 = 794.78 : x
  2. Step 2: Convert to fraction form
    1,032.52/1,426.10 = 794.78/x
  3. Step 3: Cross multiply
    1,032.52x = 1,426.10 × 794.78
  4. Step 4: Simplify right side
    1,032.52x = 1,133,435.76
  5. Step 5: Solve for x
    x = 1,133,435.76/1,032.52
  6. Step 6: Final answer
    x = 1,097.74

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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.