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Finding the Fourth Proportional to 1,550.75, 2,326.12 and 673.14

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Solution

The fourth proportional to 1,550.75, 2,326.12 and 673.14 is: 1,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.75 : 2,326.12 = 673.14 : x
  2. Step 2: Convert to fraction form
    1,550.75/2,326.12 = 673.14/x
  3. Step 3: Cross multiply
    1,550.75x = 2,326.12 × 673.14
  4. Step 4: Simplify right side
    1,550.75x = 1,565,807.13
  5. Step 5: Solve for x
    x = 1,565,807.13/1,550.75
  6. Step 6: Final answer
    x = 1,009.71

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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.