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Finding the Fourth Proportional to 1,264.04, 1,744.80 and 865.94

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Solution

The fourth proportional to 1,264.04, 1,744.80 and 865.94 is: 1,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.04 : 1,744.80 = 865.94 : x
  2. Step 2: Convert to fraction form
    1,264.04/1,744.80 = 865.94/x
  3. Step 3: Cross multiply
    1,264.04x = 1,744.80 × 865.94
  4. Step 4: Simplify right side
    1,264.04x = 1,510,892.11
  5. Step 5: Solve for x
    x = 1,510,892.11/1,264.04
  6. Step 6: Final answer
    x = 1,195.29

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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.