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Finding the Fourth Proportional to 1,004.28, 1,506.42 and 867.66

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Solution

The fourth proportional to 1,004.28, 1,506.42 and 867.66 is: 1,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.28 : 1,506.42 = 867.66 : x
  2. Step 2: Convert to fraction form
    1,004.28/1,506.42 = 867.66/x
  3. Step 3: Cross multiply
    1,004.28x = 1,506.42 × 867.66
  4. Step 4: Simplify right side
    1,004.28x = 1,307,060.38
  5. Step 5: Solve for x
    x = 1,307,060.38/1,004.28
  6. Step 6: Final answer
    x = 1,301.49

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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.