Home / 1,086.23-1,629.35-437.02

Finding the Fourth Proportional to 1,086.23, 1,629.35 and 437.02

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Solution

The fourth proportional to 1,086.23, 1,629.35 and 437.02 is: 655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,629.35 = 437.02 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,629.35 = 437.02/x
  3. Step 3: Cross multiply
    1,086.23x = 1,629.35 × 437.02
  4. Step 4: Simplify right side
    1,086.23x = 712,058.54
  5. Step 5: Solve for x
    x = 712,058.54/1,086.23
  6. Step 6: Final answer
    x = 655.53

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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.