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Finding the Fourth Proportional to 1,084.10, 1,626.40 and 353.67

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Solution

The fourth proportional to 1,084.10, 1,626.40 and 353.67 is: 530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.10 : 1,626.40 = 353.67 : x
  2. Step 2: Convert to fraction form
    1,084.10/1,626.40 = 353.67/x
  3. Step 3: Cross multiply
    1,084.10x = 1,626.40 × 353.67
  4. Step 4: Simplify right side
    1,084.10x = 575,212.38
  5. Step 5: Solve for x
    x = 575,212.38/1,084.10
  6. Step 6: Final answer
    x = 530.59

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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.