Home / 1,026.33-1,416.27-560.58

Finding the Fourth Proportional to 1,026.33, 1,416.27 and 560.58

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Solution

The fourth proportional to 1,026.33, 1,416.27 and 560.58 is: 773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,416.27 = 560.58 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,416.27 = 560.58/x
  3. Step 3: Cross multiply
    1,026.33x = 1,416.27 × 560.58
  4. Step 4: Simplify right side
    1,026.33x = 793,932.64
  5. Step 5: Solve for x
    x = 793,932.64/1,026.33
  6. Step 6: Final answer
    x = 773.56

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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.