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Finding the Fourth Proportional to 783.88, 1,171.22 and 756.63

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Solution

The fourth proportional to 783.88, 1,171.22 and 756.63 is: 1,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.88 : 1,171.22 = 756.63 : x
  2. Step 2: Convert to fraction form
    783.88/1,171.22 = 756.63/x
  3. Step 3: Cross multiply
    783.88x = 1,171.22 × 756.63
  4. Step 4: Simplify right side
    783.88x = 886,180.19
  5. Step 5: Solve for x
    x = 886,180.19/783.88
  6. Step 6: Final answer
    x = 1,130.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.