Home / 1,022.23-1,532.94-535.02

Finding the Fourth Proportional to 1,022.23, 1,532.94 and 535.02

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Solution

The fourth proportional to 1,022.23, 1,532.94 and 535.02 is: 802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.23 : 1,532.94 = 535.02 : x
  2. Step 2: Convert to fraction form
    1,022.23/1,532.94 = 535.02/x
  3. Step 3: Cross multiply
    1,022.23x = 1,532.94 × 535.02
  4. Step 4: Simplify right side
    1,022.23x = 820,153.56
  5. Step 5: Solve for x
    x = 820,153.56/1,022.23
  6. Step 6: Final answer
    x = 802.32

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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.