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Finding the Fourth Proportional to 1,084.25, 1,626.23 and 390.83

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Solution

The fourth proportional to 1,084.25, 1,626.23 and 390.83 is: 586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.25 : 1,626.23 = 390.83 : x
  2. Step 2: Convert to fraction form
    1,084.25/1,626.23 = 390.83/x
  3. Step 3: Cross multiply
    1,084.25x = 1,626.23 × 390.83
  4. Step 4: Simplify right side
    1,084.25x = 635,572.32
  5. Step 5: Solve for x
    x = 635,572.32/1,084.25
  6. Step 6: Final answer
    x = 586.18

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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.