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Finding the Fourth Proportional to 909.04, 1,361.40 and 726.58

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Solution

The fourth proportional to 909.04, 1,361.40 and 726.58 is: 1,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.04 : 1,361.40 = 726.58 : x
  2. Step 2: Convert to fraction form
    909.04/1,361.40 = 726.58/x
  3. Step 3: Cross multiply
    909.04x = 1,361.40 × 726.58
  4. Step 4: Simplify right side
    909.04x = 989,166.01
  5. Step 5: Solve for x
    x = 989,166.01/909.04
  6. Step 6: Final answer
    x = 1,088.14

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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.