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Finding the Fourth Proportional to 1,294.37, 1,785.94 and 763.29

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Solution

The fourth proportional to 1,294.37, 1,785.94 and 763.29 is: 1,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.37 : 1,785.94 = 763.29 : x
  2. Step 2: Convert to fraction form
    1,294.37/1,785.94 = 763.29/x
  3. Step 3: Cross multiply
    1,294.37x = 1,785.94 × 763.29
  4. Step 4: Simplify right side
    1,294.37x = 1,363,177.40
  5. Step 5: Solve for x
    x = 1,363,177.40/1,294.37
  6. Step 6: Final answer
    x = 1,053.16

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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.