Home / 1,030.41-1,542.27-756.44

Finding the Fourth Proportional to 1,030.41, 1,542.27 and 756.44

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Solution

The fourth proportional to 1,030.41, 1,542.27 and 756.44 is: 1,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.41 : 1,542.27 = 756.44 : x
  2. Step 2: Convert to fraction form
    1,030.41/1,542.27 = 756.44/x
  3. Step 3: Cross multiply
    1,030.41x = 1,542.27 × 756.44
  4. Step 4: Simplify right side
    1,030.41x = 1,166,634.72
  5. Step 5: Solve for x
    x = 1,166,634.72/1,030.41
  6. Step 6: Final answer
    x = 1,132.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.