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Finding the Fourth Proportional to 1,293.65, 1,785.36 and 734.15

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Solution

The fourth proportional to 1,293.65, 1,785.36 and 734.15 is: 1,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.65 : 1,785.36 = 734.15 : x
  2. Step 2: Convert to fraction form
    1,293.65/1,785.36 = 734.15/x
  3. Step 3: Cross multiply
    1,293.65x = 1,785.36 × 734.15
  4. Step 4: Simplify right side
    1,293.65x = 1,310,722.04
  5. Step 5: Solve for x
    x = 1,310,722.04/1,293.65
  6. Step 6: Final answer
    x = 1,013.20

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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.