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Finding the Fourth Proportional to 1,274.75, 1,758.62 and 801.80

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Solution

The fourth proportional to 1,274.75, 1,758.62 and 801.80 is: 1,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.75 : 1,758.62 = 801.80 : x
  2. Step 2: Convert to fraction form
    1,274.75/1,758.62 = 801.80/x
  3. Step 3: Cross multiply
    1,274.75x = 1,758.62 × 801.80
  4. Step 4: Simplify right side
    1,274.75x = 1,410,061.90
  5. Step 5: Solve for x
    x = 1,410,061.90/1,274.75
  6. Step 6: Final answer
    x = 1,106.15

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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.