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Finding the Fourth Proportional to 1,393.27, 1,922.77 and 763.85

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Solution

The fourth proportional to 1,393.27, 1,922.77 and 763.85 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.27 : 1,922.77 = 763.85 : x
  2. Step 2: Convert to fraction form
    1,393.27/1,922.77 = 763.85/x
  3. Step 3: Cross multiply
    1,393.27x = 1,922.77 × 763.85
  4. Step 4: Simplify right side
    1,393.27x = 1,468,698.51
  5. Step 5: Solve for x
    x = 1,468,698.51/1,393.27
  6. Step 6: Final answer
    x = 1,054.14

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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.