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Finding the Fourth Proportional to 876.52, 1,209.77 and 832.47

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Solution

The fourth proportional to 876.52, 1,209.77 and 832.47 is: 1,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,209.77 = 832.47 : x
  2. Step 2: Convert to fraction form
    876.52/1,209.77 = 832.47/x
  3. Step 3: Cross multiply
    876.52x = 1,209.77 × 832.47
  4. Step 4: Simplify right side
    876.52x = 1,007,093.07
  5. Step 5: Solve for x
    x = 1,007,093.07/876.52
  6. Step 6: Final answer
    x = 1,148.97

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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.