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Finding the Fourth Proportional to 1,278.06, 1,763.69 and 754.14

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Solution

The fourth proportional to 1,278.06, 1,763.69 and 754.14 is: 1,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.06 : 1,763.69 = 754.14 : x
  2. Step 2: Convert to fraction form
    1,278.06/1,763.69 = 754.14/x
  3. Step 3: Cross multiply
    1,278.06x = 1,763.69 × 754.14
  4. Step 4: Simplify right side
    1,278.06x = 1,330,069.18
  5. Step 5: Solve for x
    x = 1,330,069.18/1,278.06
  6. Step 6: Final answer
    x = 1,040.69

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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.