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Finding the Fourth Proportional to 1,275.71, 1,759.96 and 833.45

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Solution

The fourth proportional to 1,275.71, 1,759.96 and 833.45 is: 1,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.71 : 1,759.96 = 833.45 : x
  2. Step 2: Convert to fraction form
    1,275.71/1,759.96 = 833.45/x
  3. Step 3: Cross multiply
    1,275.71x = 1,759.96 × 833.45
  4. Step 4: Simplify right side
    1,275.71x = 1,466,838.66
  5. Step 5: Solve for x
    x = 1,466,838.66/1,275.71
  6. Step 6: Final answer
    x = 1,149.82

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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.