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Finding the Fourth Proportional to 1,433.76, 1,977.84 and 908.88

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Solution

The fourth proportional to 1,433.76, 1,977.84 and 908.88 is: 1,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.76 : 1,977.84 = 908.88 : x
  2. Step 2: Convert to fraction form
    1,433.76/1,977.84 = 908.88/x
  3. Step 3: Cross multiply
    1,433.76x = 1,977.84 × 908.88
  4. Step 4: Simplify right side
    1,433.76x = 1,797,619.22
  5. Step 5: Solve for x
    x = 1,797,619.22/1,433.76
  6. Step 6: Final answer
    x = 1,253.78

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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.