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Finding the Fourth Proportional to 1,022.19, 1,533.71 and 535.56

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Solution

The fourth proportional to 1,022.19, 1,533.71 and 535.56 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.19 : 1,533.71 = 535.56 : x
  2. Step 2: Convert to fraction form
    1,022.19/1,533.71 = 535.56/x
  3. Step 3: Cross multiply
    1,022.19x = 1,533.71 × 535.56
  4. Step 4: Simplify right side
    1,022.19x = 821,393.73
  5. Step 5: Solve for x
    x = 821,393.73/1,022.19
  6. Step 6: Final answer
    x = 803.56

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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.