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Finding the Fourth Proportional to 876.83, 1,314.09 and 765.09

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Solution

The fourth proportional to 876.83, 1,314.09 and 765.09 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.83 : 1,314.09 = 765.09 : x
  2. Step 2: Convert to fraction form
    876.83/1,314.09 = 765.09/x
  3. Step 3: Cross multiply
    876.83x = 1,314.09 × 765.09
  4. Step 4: Simplify right side
    876.83x = 1,005,392.19
  5. Step 5: Solve for x
    x = 1,005,392.19/876.83
  6. Step 6: Final answer
    x = 1,146.63

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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.