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Finding the Fourth Proportional to 1,265.34, 1,746.54 and 799.86

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Solution

The fourth proportional to 1,265.34, 1,746.54 and 799.86 is: 1,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.34 : 1,746.54 = 799.86 : x
  2. Step 2: Convert to fraction form
    1,265.34/1,746.54 = 799.86/x
  3. Step 3: Cross multiply
    1,265.34x = 1,746.54 × 799.86
  4. Step 4: Simplify right side
    1,265.34x = 1,396,987.48
  5. Step 5: Solve for x
    x = 1,396,987.48/1,265.34
  6. Step 6: Final answer
    x = 1,104.04

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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.