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Finding the Fourth Proportional to 1,110.96, 1,533.14 and 613.66

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Solution

The fourth proportional to 1,110.96, 1,533.14 and 613.66 is: 846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.96 : 1,533.14 = 613.66 : x
  2. Step 2: Convert to fraction form
    1,110.96/1,533.14 = 613.66/x
  3. Step 3: Cross multiply
    1,110.96x = 1,533.14 × 613.66
  4. Step 4: Simplify right side
    1,110.96x = 940,826.69
  5. Step 5: Solve for x
    x = 940,826.69/1,110.96
  6. Step 6: Final answer
    x = 846.86

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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.