Home / 1,032.35-1,424.56-566.60

Finding the Fourth Proportional to 1,032.35, 1,424.56 and 566.60

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Solution

The fourth proportional to 1,032.35, 1,424.56 and 566.60 is: 781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,424.56 = 566.60 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,424.56 = 566.60/x
  3. Step 3: Cross multiply
    1,032.35x = 1,424.56 × 566.60
  4. Step 4: Simplify right side
    1,032.35x = 807,155.70
  5. Step 5: Solve for x
    x = 807,155.70/1,032.35
  6. Step 6: Final answer
    x = 781.86

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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.