Home / 1,022.90-1,533.20-437.47

Finding the Fourth Proportional to 1,022.90, 1,533.20 and 437.47

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Solution

The fourth proportional to 1,022.90, 1,533.20 and 437.47 is: 655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,533.20 = 437.47 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,533.20 = 437.47/x
  3. Step 3: Cross multiply
    1,022.90x = 1,533.20 × 437.47
  4. Step 4: Simplify right side
    1,022.90x = 670,722.98
  5. Step 5: Solve for x
    x = 670,722.98/1,022.90
  6. Step 6: Final answer
    x = 655.71

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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.