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Finding the Fourth Proportional to 1,020.96, 1,527.42 and 788.04

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Solution

The fourth proportional to 1,020.96, 1,527.42 and 788.04 is: 1,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.96 : 1,527.42 = 788.04 : x
  2. Step 2: Convert to fraction form
    1,020.96/1,527.42 = 788.04/x
  3. Step 3: Cross multiply
    1,020.96x = 1,527.42 × 788.04
  4. Step 4: Simplify right side
    1,020.96x = 1,203,668.06
  5. Step 5: Solve for x
    x = 1,203,668.06/1,020.96
  6. Step 6: Final answer
    x = 1,178.96

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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.