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Finding the Fourth Proportional to 885.74, 1,326.26 and 781.94

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Solution

The fourth proportional to 885.74, 1,326.26 and 781.94 is: 1,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.74 : 1,326.26 = 781.94 : x
  2. Step 2: Convert to fraction form
    885.74/1,326.26 = 781.94/x
  3. Step 3: Cross multiply
    885.74x = 1,326.26 × 781.94
  4. Step 4: Simplify right side
    885.74x = 1,037,055.74
  5. Step 5: Solve for x
    x = 1,037,055.74/885.74
  6. Step 6: Final answer
    x = 1,170.84

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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.