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Finding the Fourth Proportional to 881.22, 1,314.38 and 830.46

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Solution

The fourth proportional to 881.22, 1,314.38 and 830.46 is: 1,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.22 : 1,314.38 = 830.46 : x
  2. Step 2: Convert to fraction form
    881.22/1,314.38 = 830.46/x
  3. Step 3: Cross multiply
    881.22x = 1,314.38 × 830.46
  4. Step 4: Simplify right side
    881.22x = 1,091,535.86
  5. Step 5: Solve for x
    x = 1,091,535.86/881.22
  6. Step 6: Final answer
    x = 1,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.