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Finding the Fourth Proportional to 1,020.80, 1,527.83 and 878.24

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Solution

The fourth proportional to 1,020.80, 1,527.83 and 878.24 is: 1,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.80 : 1,527.83 = 878.24 : x
  2. Step 2: Convert to fraction form
    1,020.80/1,527.83 = 878.24/x
  3. Step 3: Cross multiply
    1,020.80x = 1,527.83 × 878.24
  4. Step 4: Simplify right side
    1,020.80x = 1,341,804.14
  5. Step 5: Solve for x
    x = 1,341,804.14/1,020.80
  6. Step 6: Final answer
    x = 1,314.46

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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.