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Finding the Fourth Proportional to 1,020.75, 1,527.58 and 847.74

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Solution

The fourth proportional to 1,020.75, 1,527.58 and 847.74 is: 1,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,527.58 = 847.74 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,527.58 = 847.74/x
  3. Step 3: Cross multiply
    1,020.75x = 1,527.58 × 847.74
  4. Step 4: Simplify right side
    1,020.75x = 1,294,990.67
  5. Step 5: Solve for x
    x = 1,294,990.67/1,020.75
  6. Step 6: Final answer
    x = 1,268.67

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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.