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Finding the Fourth Proportional to 756.34, 1,127.22 and 749.96

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Solution

The fourth proportional to 756.34, 1,127.22 and 749.96 is: 1,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.34 : 1,127.22 = 749.96 : x
  2. Step 2: Convert to fraction form
    756.34/1,127.22 = 749.96/x
  3. Step 3: Cross multiply
    756.34x = 1,127.22 × 749.96
  4. Step 4: Simplify right side
    756.34x = 845,365.69
  5. Step 5: Solve for x
    x = 845,365.69/756.34
  6. Step 6: Final answer
    x = 1,117.71

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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.