Home / 1,022.87-1,531.96-802.99

Finding the Fourth Proportional to 1,022.87, 1,531.96 and 802.99

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Solution

The fourth proportional to 1,022.87, 1,531.96 and 802.99 is: 1,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.87 : 1,531.96 = 802.99 : x
  2. Step 2: Convert to fraction form
    1,022.87/1,531.96 = 802.99/x
  3. Step 3: Cross multiply
    1,022.87x = 1,531.96 × 802.99
  4. Step 4: Simplify right side
    1,022.87x = 1,230,142.72
  5. Step 5: Solve for x
    x = 1,230,142.72/1,022.87
  6. Step 6: Final answer
    x = 1,202.64

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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.