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Finding the Fourth Proportional to 1,084.06, 1,626.34 and 426.00

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Solution

The fourth proportional to 1,084.06, 1,626.34 and 426.00 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.06 : 1,626.34 = 426.00 : x
  2. Step 2: Convert to fraction form
    1,084.06/1,626.34 = 426.00/x
  3. Step 3: Cross multiply
    1,084.06x = 1,626.34 × 426.00
  4. Step 4: Simplify right side
    1,084.06x = 692,822.78
  5. Step 5: Solve for x
    x = 692,822.78/1,084.06
  6. Step 6: Final answer
    x = 639.10

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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.