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Finding the Fourth Proportional to 1,084.24, 1,496.24 and 586.87

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Solution

The fourth proportional to 1,084.24, 1,496.24 and 586.87 is: 809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.24 : 1,496.24 = 586.87 : x
  2. Step 2: Convert to fraction form
    1,084.24/1,496.24 = 586.87/x
  3. Step 3: Cross multiply
    1,084.24x = 1,496.24 × 586.87
  4. Step 4: Simplify right side
    1,084.24x = 878,095.43
  5. Step 5: Solve for x
    x = 878,095.43/1,084.24
  6. Step 6: Final answer
    x = 809.88

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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.