Home / 1,026.25-1,416.26-560.53

Finding the Fourth Proportional to 1,026.25, 1,416.26 and 560.53

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Solution

The fourth proportional to 1,026.25, 1,416.26 and 560.53 is: 773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.25 : 1,416.26 = 560.53 : x
  2. Step 2: Convert to fraction form
    1,026.25/1,416.26 = 560.53/x
  3. Step 3: Cross multiply
    1,026.25x = 1,416.26 × 560.53
  4. Step 4: Simplify right side
    1,026.25x = 793,856.22
  5. Step 5: Solve for x
    x = 793,856.22/1,026.25
  6. Step 6: Final answer
    x = 773.55

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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.