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Finding the Fourth Proportional to 811.40, 1,217.10 and 726.35

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Solution

The fourth proportional to 811.40, 1,217.10 and 726.35 is: 1,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.40 : 1,217.10 = 726.35 : x
  2. Step 2: Convert to fraction form
    811.40/1,217.10 = 726.35/x
  3. Step 3: Cross multiply
    811.40x = 1,217.10 × 726.35
  4. Step 4: Simplify right side
    811.40x = 884,040.59
  5. Step 5: Solve for x
    x = 884,040.59/811.40
  6. Step 6: Final answer
    x = 1,089.53

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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.