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Finding the Fourth Proportional to 868.14, 1,293.45 and 812.28

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Solution

The fourth proportional to 868.14, 1,293.45 and 812.28 is: 1,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,293.45 = 812.28 : x
  2. Step 2: Convert to fraction form
    868.14/1,293.45 = 812.28/x
  3. Step 3: Cross multiply
    868.14x = 1,293.45 × 812.28
  4. Step 4: Simplify right side
    868.14x = 1,050,643.57
  5. Step 5: Solve for x
    x = 1,050,643.57/868.14
  6. Step 6: Final answer
    x = 1,210.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.