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Finding the Fourth Proportional to 1,527.65, 2,288.43 and 704.79

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Solution

The fourth proportional to 1,527.65, 2,288.43 and 704.79 is: 1,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.65 : 2,288.43 = 704.79 : x
  2. Step 2: Convert to fraction form
    1,527.65/2,288.43 = 704.79/x
  3. Step 3: Cross multiply
    1,527.65x = 2,288.43 × 704.79
  4. Step 4: Simplify right side
    1,527.65x = 1,612,862.58
  5. Step 5: Solve for x
    x = 1,612,862.58/1,527.65
  6. Step 6: Final answer
    x = 1,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.