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Finding the Fourth Proportional to 1,278.57, 1,764.36 and 719.07

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Solution

The fourth proportional to 1,278.57, 1,764.36 and 719.07 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.57 : 1,764.36 = 719.07 : x
  2. Step 2: Convert to fraction form
    1,278.57/1,764.36 = 719.07/x
  3. Step 3: Cross multiply
    1,278.57x = 1,764.36 × 719.07
  4. Step 4: Simplify right side
    1,278.57x = 1,268,698.35
  5. Step 5: Solve for x
    x = 1,268,698.35/1,278.57
  6. Step 6: Final answer
    x = 992.28

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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.