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Finding the Fourth Proportional to 1,133.48, 1,564.30 and 691.82

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Solution

The fourth proportional to 1,133.48, 1,564.30 and 691.82 is: 954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.48 : 1,564.30 = 691.82 : x
  2. Step 2: Convert to fraction form
    1,133.48/1,564.30 = 691.82/x
  3. Step 3: Cross multiply
    1,133.48x = 1,564.30 × 691.82
  4. Step 4: Simplify right side
    1,133.48x = 1,082,219.67
  5. Step 5: Solve for x
    x = 1,082,219.67/1,133.48
  6. Step 6: Final answer
    x = 954.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.