Home / 1,032.09-1,424.27-566.34

Finding the Fourth Proportional to 1,032.09, 1,424.27 and 566.34

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Solution

The fourth proportional to 1,032.09, 1,424.27 and 566.34 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.09 : 1,424.27 = 566.34 : x
  2. Step 2: Convert to fraction form
    1,032.09/1,424.27 = 566.34/x
  3. Step 3: Cross multiply
    1,032.09x = 1,424.27 × 566.34
  4. Step 4: Simplify right side
    1,032.09x = 806,621.07
  5. Step 5: Solve for x
    x = 806,621.07/1,032.09
  6. Step 6: Final answer
    x = 781.54

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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.