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Finding the Fourth Proportional to 1,278.42, 1,764.09 and 754.35

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Solution

The fourth proportional to 1,278.42, 1,764.09 and 754.35 is: 1,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.42 : 1,764.09 = 754.35 : x
  2. Step 2: Convert to fraction form
    1,278.42/1,764.09 = 754.35/x
  3. Step 3: Cross multiply
    1,278.42x = 1,764.09 × 754.35
  4. Step 4: Simplify right side
    1,278.42x = 1,330,741.29
  5. Step 5: Solve for x
    x = 1,330,741.29/1,278.42
  6. Step 6: Final answer
    x = 1,040.93

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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.