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Finding the Fourth Proportional to 1,084.26, 1,496.26 and 586.89

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Solution

The fourth proportional to 1,084.26, 1,496.26 and 586.89 is: 809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.26 : 1,496.26 = 586.89 : x
  2. Step 2: Convert to fraction form
    1,084.26/1,496.26 = 586.89/x
  3. Step 3: Cross multiply
    1,084.26x = 1,496.26 × 586.89
  4. Step 4: Simplify right side
    1,084.26x = 878,141.50
  5. Step 5: Solve for x
    x = 878,141.50/1,084.26
  6. Step 6: Final answer
    x = 809.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.