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Finding the Fourth Proportional to 1,275.30, 1,758.75 and 826.97

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Solution

The fourth proportional to 1,275.30, 1,758.75 and 826.97 is: 1,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.30 : 1,758.75 = 826.97 : x
  2. Step 2: Convert to fraction form
    1,275.30/1,758.75 = 826.97/x
  3. Step 3: Cross multiply
    1,275.30x = 1,758.75 × 826.97
  4. Step 4: Simplify right side
    1,275.30x = 1,454,424.69
  5. Step 5: Solve for x
    x = 1,454,424.69/1,275.30
  6. Step 6: Final answer
    x = 1,140.46

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1.5x scale

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.