Home / 1,032.21-1,424.43-566.46

Finding the Fourth Proportional to 1,032.21, 1,424.43 and 566.46

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Solution

The fourth proportional to 1,032.21, 1,424.43 and 566.46 is: 781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.21 : 1,424.43 = 566.46 : x
  2. Step 2: Convert to fraction form
    1,032.21/1,424.43 = 566.46/x
  3. Step 3: Cross multiply
    1,032.21x = 1,424.43 × 566.46
  4. Step 4: Simplify right side
    1,032.21x = 806,882.62
  5. Step 5: Solve for x
    x = 806,882.62/1,032.21
  6. Step 6: Final answer
    x = 781.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.