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Finding the Fourth Proportional to 1,078.38, 1,487.36 and 685.13

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Solution

The fourth proportional to 1,078.38, 1,487.36 and 685.13 is: 944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.38 : 1,487.36 = 685.13 : x
  2. Step 2: Convert to fraction form
    1,078.38/1,487.36 = 685.13/x
  3. Step 3: Cross multiply
    1,078.38x = 1,487.36 × 685.13
  4. Step 4: Simplify right side
    1,078.38x = 1,019,029.23
  5. Step 5: Solve for x
    x = 1,019,029.23/1,078.38
  6. Step 6: Final answer
    x = 944.96

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Why These Related Problems?

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