Home / 1,134.41-1,566.09-780.53

Finding the Fourth Proportional to 1,134.41, 1,566.09 and 780.53

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Solution

The fourth proportional to 1,134.41, 1,566.09 and 780.53 is: 1,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.41 : 1,566.09 = 780.53 : x
  2. Step 2: Convert to fraction form
    1,134.41/1,566.09 = 780.53/x
  3. Step 3: Cross multiply
    1,134.41x = 1,566.09 × 780.53
  4. Step 4: Simplify right side
    1,134.41x = 1,222,372.40
  5. Step 5: Solve for x
    x = 1,222,372.40/1,134.41
  6. Step 6: Final answer
    x = 1,077.54

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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.