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Finding the Fourth Proportional to 1,003.78, 1,505.67 and 867.16

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Solution

The fourth proportional to 1,003.78, 1,505.67 and 867.16 is: 1,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,505.67 = 867.16 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,505.67 = 867.16/x
  3. Step 3: Cross multiply
    1,003.78x = 1,505.67 × 867.16
  4. Step 4: Simplify right side
    1,003.78x = 1,305,656.80
  5. Step 5: Solve for x
    x = 1,305,656.80/1,003.78
  6. Step 6: Final answer
    x = 1,300.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.