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Finding the Fourth Proportional to 914.20, 1,253.05 and 881.40

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Solution

The fourth proportional to 914.20, 1,253.05 and 881.40 is: 1,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,253.05 = 881.40 : x
  2. Step 2: Convert to fraction form
    914.20/1,253.05 = 881.40/x
  3. Step 3: Cross multiply
    914.20x = 1,253.05 × 881.40
  4. Step 4: Simplify right side
    914.20x = 1,104,438.27
  5. Step 5: Solve for x
    x = 1,104,438.27/914.20
  6. Step 6: Final answer
    x = 1,208.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.