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Finding the Fourth Proportional to 1,022.53, 1,534.02 and 535.45

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Solution

The fourth proportional to 1,022.53, 1,534.02 and 535.45 is: 803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.53 : 1,534.02 = 535.45 : x
  2. Step 2: Convert to fraction form
    1,022.53/1,534.02 = 535.45/x
  3. Step 3: Cross multiply
    1,022.53x = 1,534.02 × 535.45
  4. Step 4: Simplify right side
    1,022.53x = 821,391.01
  5. Step 5: Solve for x
    x = 821,391.01/1,022.53
  6. Step 6: Final answer
    x = 803.29

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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.