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Finding the Fourth Proportional to 1,315.39, 1,973.96 and 699.55

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Solution

The fourth proportional to 1,315.39, 1,973.96 and 699.55 is: 1,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.39 : 1,973.96 = 699.55 : x
  2. Step 2: Convert to fraction form
    1,315.39/1,973.96 = 699.55/x
  3. Step 3: Cross multiply
    1,315.39x = 1,973.96 × 699.55
  4. Step 4: Simplify right side
    1,315.39x = 1,380,883.72
  5. Step 5: Solve for x
    x = 1,380,883.72/1,315.39
  6. Step 6: Final answer
    x = 1,049.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.