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Finding the Fourth Proportional to 1,084.69, 1,627.21 and 354.00

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Solution

The fourth proportional to 1,084.69, 1,627.21 and 354.00 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.69 : 1,627.21 = 354.00 : x
  2. Step 2: Convert to fraction form
    1,084.69/1,627.21 = 354.00/x
  3. Step 3: Cross multiply
    1,084.69x = 1,627.21 × 354.00
  4. Step 4: Simplify right side
    1,084.69x = 576,036.89
  5. Step 5: Solve for x
    x = 576,036.89/1,084.69
  6. Step 6: Final answer
    x = 531.06

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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.