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Finding the Fourth Proportional to 1,275.08, 1,759.84 and 827.50

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Solution

The fourth proportional to 1,275.08, 1,759.84 and 827.50 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.08 : 1,759.84 = 827.50 : x
  2. Step 2: Convert to fraction form
    1,275.08/1,759.84 = 827.50/x
  3. Step 3: Cross multiply
    1,275.08x = 1,759.84 × 827.50
  4. Step 4: Simplify right side
    1,275.08x = 1,456,267.60
  5. Step 5: Solve for x
    x = 1,456,267.60/1,275.08
  6. Step 6: Final answer
    x = 1,142.10

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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.