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Finding the Fourth Proportional to 1,187.32, 1,637.67 and 813.73

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Solution

The fourth proportional to 1,187.32, 1,637.67 and 813.73 is: 1,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.32 : 1,637.67 = 813.73 : x
  2. Step 2: Convert to fraction form
    1,187.32/1,637.67 = 813.73/x
  3. Step 3: Cross multiply
    1,187.32x = 1,637.67 × 813.73
  4. Step 4: Simplify right side
    1,187.32x = 1,332,621.21
  5. Step 5: Solve for x
    x = 1,332,621.21/1,187.32
  6. Step 6: Final answer
    x = 1,122.38

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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.