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Finding the Fourth Proportional to 1,432.96, 1,978.71 and 1,078.27

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Solution

The fourth proportional to 1,432.96, 1,978.71 and 1,078.27 is: 1,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.96 : 1,978.71 = 1,078.27 : x
  2. Step 2: Convert to fraction form
    1,432.96/1,978.71 = 1,078.27/x
  3. Step 3: Cross multiply
    1,432.96x = 1,978.71 × 1,078.27
  4. Step 4: Simplify right side
    1,432.96x = 2,133,583.63
  5. Step 5: Solve for x
    x = 2,133,583.63/1,432.96
  6. Step 6: Final answer
    x = 1,488.93

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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.