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Finding the Fourth Proportional to 1,133.96, 1,564.74 and 691.97

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Solution

The fourth proportional to 1,133.96, 1,564.74 and 691.97 is: 954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,564.74 = 691.97 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,564.74 = 691.97/x
  3. Step 3: Cross multiply
    1,133.96x = 1,564.74 × 691.97
  4. Step 4: Simplify right side
    1,133.96x = 1,082,745.31
  5. Step 5: Solve for x
    x = 1,082,745.31/1,133.96
  6. Step 6: Final answer
    x = 954.84

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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.