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Finding the Fourth Proportional to 1,278.88, 1,760.49 and 946.68

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Solution

The fourth proportional to 1,278.88, 1,760.49 and 946.68 is: 1,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.88 : 1,760.49 = 946.68 : x
  2. Step 2: Convert to fraction form
    1,278.88/1,760.49 = 946.68/x
  3. Step 3: Cross multiply
    1,278.88x = 1,760.49 × 946.68
  4. Step 4: Simplify right side
    1,278.88x = 1,666,620.67
  5. Step 5: Solve for x
    x = 1,666,620.67/1,278.88
  6. Step 6: Final answer
    x = 1,303.19

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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.