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Finding the Fourth Proportional to 1,278.37, 1,764.14 and 718.85

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Solution

The fourth proportional to 1,278.37, 1,764.14 and 718.85 is: 992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.37 : 1,764.14 = 718.85 : x
  2. Step 2: Convert to fraction form
    1,278.37/1,764.14 = 718.85/x
  3. Step 3: Cross multiply
    1,278.37x = 1,764.14 × 718.85
  4. Step 4: Simplify right side
    1,278.37x = 1,268,152.04
  5. Step 5: Solve for x
    x = 1,268,152.04/1,278.37
  6. Step 6: Final answer
    x = 992.01

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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.