Home / 1,022.46-1,533.38-535.24

Finding the Fourth Proportional to 1,022.46, 1,533.38 and 535.24

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Solution

The fourth proportional to 1,022.46, 1,533.38 and 535.24 is: 802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.46 : 1,533.38 = 535.24 : x
  2. Step 2: Convert to fraction form
    1,022.46/1,533.38 = 535.24/x
  3. Step 3: Cross multiply
    1,022.46x = 1,533.38 × 535.24
  4. Step 4: Simplify right side
    1,022.46x = 820,728.56
  5. Step 5: Solve for x
    x = 820,728.56/1,022.46
  6. Step 6: Final answer
    x = 802.70

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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.