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Finding the Fourth Proportional to 1,084.29, 1,625.70 and 426.15

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Solution

The fourth proportional to 1,084.29, 1,625.70 and 426.15 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.29 : 1,625.70 = 426.15 : x
  2. Step 2: Convert to fraction form
    1,084.29/1,625.70 = 426.15/x
  3. Step 3: Cross multiply
    1,084.29x = 1,625.70 × 426.15
  4. Step 4: Simplify right side
    1,084.29x = 692,792.06
  5. Step 5: Solve for x
    x = 692,792.06/1,084.29
  6. Step 6: Final answer
    x = 638.94

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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.