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Finding the Fourth Proportional to 1,084.32, 1,496.34 and 586.96

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Solution

The fourth proportional to 1,084.32, 1,496.34 and 586.96 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.32 : 1,496.34 = 586.96 : x
  2. Step 2: Convert to fraction form
    1,084.32/1,496.34 = 586.96/x
  3. Step 3: Cross multiply
    1,084.32x = 1,496.34 × 586.96
  4. Step 4: Simplify right side
    1,084.32x = 878,287.99
  5. Step 5: Solve for x
    x = 878,287.99/1,084.32
  6. Step 6: Final answer
    x = 809.99

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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.