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Finding the Fourth Proportional to 1,425.13, 1,966.24 and 865.93

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Solution

The fourth proportional to 1,425.13, 1,966.24 and 865.93 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.13 : 1,966.24 = 865.93 : x
  2. Step 2: Convert to fraction form
    1,425.13/1,966.24 = 865.93/x
  3. Step 3: Cross multiply
    1,425.13x = 1,966.24 × 865.93
  4. Step 4: Simplify right side
    1,425.13x = 1,702,626.20
  5. Step 5: Solve for x
    x = 1,702,626.20/1,425.13
  6. Step 6: Final answer
    x = 1,194.72

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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.