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Finding the Fourth Proportional to 1,078.50, 1,487.52 and 747.48

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Solution

The fourth proportional to 1,078.50, 1,487.52 and 747.48 is: 1,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,487.52 = 747.48 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,487.52 = 747.48/x
  3. Step 3: Cross multiply
    1,078.50x = 1,487.52 × 747.48
  4. Step 4: Simplify right side
    1,078.50x = 1,111,891.45
  5. Step 5: Solve for x
    x = 1,111,891.45/1,078.50
  6. Step 6: Final answer
    x = 1,030.96

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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.