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Finding the Fourth Proportional to 726.06, 1,088.82 and 418.14

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Solution

The fourth proportional to 726.06, 1,088.82 and 418.14 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.06 : 1,088.82 = 418.14 : x
  2. Step 2: Convert to fraction form
    726.06/1,088.82 = 418.14/x
  3. Step 3: Cross multiply
    726.06x = 1,088.82 × 418.14
  4. Step 4: Simplify right side
    726.06x = 455,279.19
  5. Step 5: Solve for x
    x = 455,279.19/726.06
  6. Step 6: Final answer
    x = 627.05

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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.