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Finding the Fourth Proportional to 1,084.11, 1,626.23 and 434.76

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Solution

The fourth proportional to 1,084.11, 1,626.23 and 434.76 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.11 : 1,626.23 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,084.11/1,626.23 = 434.76/x
  3. Step 3: Cross multiply
    1,084.11x = 1,626.23 × 434.76
  4. Step 4: Simplify right side
    1,084.11x = 707,019.75
  5. Step 5: Solve for x
    x = 707,019.75/1,084.11
  6. Step 6: Final answer
    x = 652.17

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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.