Home / 1,022.45-1,531.56-534.02

Finding the Fourth Proportional to 1,022.45, 1,531.56 and 534.02

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Solution

The fourth proportional to 1,022.45, 1,531.56 and 534.02 is: 799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.45 : 1,531.56 = 534.02 : x
  2. Step 2: Convert to fraction form
    1,022.45/1,531.56 = 534.02/x
  3. Step 3: Cross multiply
    1,022.45x = 1,531.56 × 534.02
  4. Step 4: Simplify right side
    1,022.45x = 817,883.67
  5. Step 5: Solve for x
    x = 817,883.67/1,022.45
  6. Step 6: Final answer
    x = 799.93

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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.