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Finding the Fourth Proportional to 1,304.24, 1,799.82 and 806.90

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Solution

The fourth proportional to 1,304.24, 1,799.82 and 806.90 is: 1,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.24 : 1,799.82 = 806.90 : x
  2. Step 2: Convert to fraction form
    1,304.24/1,799.82 = 806.90/x
  3. Step 3: Cross multiply
    1,304.24x = 1,799.82 × 806.90
  4. Step 4: Simplify right side
    1,304.24x = 1,452,265.76
  5. Step 5: Solve for x
    x = 1,452,265.76/1,304.24
  6. Step 6: Final answer
    x = 1,113.50

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1.5x scale

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.