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Finding the Fourth Proportional to 868.83, 1,300.14 and 810.90

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Solution

The fourth proportional to 868.83, 1,300.14 and 810.90 is: 1,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.83 : 1,300.14 = 810.90 : x
  2. Step 2: Convert to fraction form
    868.83/1,300.14 = 810.90/x
  3. Step 3: Cross multiply
    868.83x = 1,300.14 × 810.90
  4. Step 4: Simplify right side
    868.83x = 1,054,283.53
  5. Step 5: Solve for x
    x = 1,054,283.53/868.83
  6. Step 6: Final answer
    x = 1,213.45

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