Home / 1,022.11-1,531.22-583.66

Finding the Fourth Proportional to 1,022.11, 1,531.22 and 583.66

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Solution

The fourth proportional to 1,022.11, 1,531.22 and 583.66 is: 874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.11 : 1,531.22 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,022.11/1,531.22 = 583.66/x
  3. Step 3: Cross multiply
    1,022.11x = 1,531.22 × 583.66
  4. Step 4: Simplify right side
    1,022.11x = 893,711.87
  5. Step 5: Solve for x
    x = 893,711.87/1,022.11
  6. Step 6: Final answer
    x = 874.38

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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.