Home / 1,084.21-1,496.20-586.84

Finding the Fourth Proportional to 1,084.21, 1,496.20 and 586.84

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Solution

The fourth proportional to 1,084.21, 1,496.20 and 586.84 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.21 : 1,496.20 = 586.84 : x
  2. Step 2: Convert to fraction form
    1,084.21/1,496.20 = 586.84/x
  3. Step 3: Cross multiply
    1,084.21x = 1,496.20 × 586.84
  4. Step 4: Simplify right side
    1,084.21x = 878,030.01
  5. Step 5: Solve for x
    x = 878,030.01/1,084.21
  6. Step 6: Final answer
    x = 809.83

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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.