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Finding the Fourth Proportional to 1,278.63, 1,764.60 and 754.83

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Solution

The fourth proportional to 1,278.63, 1,764.60 and 754.83 is: 1,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.63 : 1,764.60 = 754.83 : x
  2. Step 2: Convert to fraction form
    1,278.63/1,764.60 = 754.83/x
  3. Step 3: Cross multiply
    1,278.63x = 1,764.60 × 754.83
  4. Step 4: Simplify right side
    1,278.63x = 1,331,973.02
  5. Step 5: Solve for x
    x = 1,331,973.02/1,278.63
  6. Step 6: Final answer
    x = 1,041.72

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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.