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Finding the Fourth Proportional to 913.67, 1,261.13 and 748.28

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Solution

The fourth proportional to 913.67, 1,261.13 and 748.28 is: 1,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.67 : 1,261.13 = 748.28 : x
  2. Step 2: Convert to fraction form
    913.67/1,261.13 = 748.28/x
  3. Step 3: Cross multiply
    913.67x = 1,261.13 × 748.28
  4. Step 4: Simplify right side
    913.67x = 943,678.36
  5. Step 5: Solve for x
    x = 943,678.36/913.67
  6. Step 6: Final answer
    x = 1,032.84

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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.