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Finding the Fourth Proportional to 1,274, 1,758.90 and 833.14

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Solution

The fourth proportional to 1,274, 1,758.90 and 833.14 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274 : 1,758.90 = 833.14 : x
  2. Step 2: Convert to fraction form
    1,274/1,758.90 = 833.14/x
  3. Step 3: Cross multiply
    1,274x = 1,758.90 × 833.14
  4. Step 4: Simplify right side
    1,274x = 1,465,409.95
  5. Step 5: Solve for x
    x = 1,465,409.95/1,274
  6. Step 6: Final answer
    x = 1,150.24

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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.