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Finding the Fourth Proportional to 1,084.56, 1,626.66 and 391.22

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Solution

The fourth proportional to 1,084.56, 1,626.66 and 391.22 is: 586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.56 : 1,626.66 = 391.22 : x
  2. Step 2: Convert to fraction form
    1,084.56/1,626.66 = 391.22/x
  3. Step 3: Cross multiply
    1,084.56x = 1,626.66 × 391.22
  4. Step 4: Simplify right side
    1,084.56x = 636,381.93
  5. Step 5: Solve for x
    x = 636,381.93/1,084.56
  6. Step 6: Final answer
    x = 586.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.