Home / 1,075.52-1,614.91-1,022.66

Finding the Fourth Proportional to 1,075.52, 1,614.91 and 1,022.66

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Solution

The fourth proportional to 1,075.52, 1,614.91 and 1,022.66 is: 1,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.52 : 1,614.91 = 1,022.66 : x
  2. Step 2: Convert to fraction form
    1,075.52/1,614.91 = 1,022.66/x
  3. Step 3: Cross multiply
    1,075.52x = 1,614.91 × 1,022.66
  4. Step 4: Simplify right side
    1,075.52x = 1,651,503.86
  5. Step 5: Solve for x
    x = 1,651,503.86/1,075.52
  6. Step 6: Final answer
    x = 1,535.54

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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.