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Finding the Fourth Proportional to 1,113.31, 1,667.37 and 564.16

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Solution

The fourth proportional to 1,113.31, 1,667.37 and 564.16 is: 844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.31 : 1,667.37 = 564.16 : x
  2. Step 2: Convert to fraction form
    1,113.31/1,667.37 = 564.16/x
  3. Step 3: Cross multiply
    1,113.31x = 1,667.37 × 564.16
  4. Step 4: Simplify right side
    1,113.31x = 940,663.46
  5. Step 5: Solve for x
    x = 940,663.46/1,113.31
  6. Step 6: Final answer
    x = 844.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.