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Finding the Fourth Proportional to 1,084.74, 1,626.02 and 536.10

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Solution

The fourth proportional to 1,084.74, 1,626.02 and 536.10 is: 803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.74 : 1,626.02 = 536.10 : x
  2. Step 2: Convert to fraction form
    1,084.74/1,626.02 = 536.10/x
  3. Step 3: Cross multiply
    1,084.74x = 1,626.02 × 536.10
  4. Step 4: Simplify right side
    1,084.74x = 871,709.32
  5. Step 5: Solve for x
    x = 871,709.32/1,084.74
  6. Step 6: Final answer
    x = 803.61

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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.