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Finding the Fourth Proportional to 1,155.05, 1,594.04 and 682.82

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Solution

The fourth proportional to 1,155.05, 1,594.04 and 682.82 is: 942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.05 : 1,594.04 = 682.82 : x
  2. Step 2: Convert to fraction form
    1,155.05/1,594.04 = 682.82/x
  3. Step 3: Cross multiply
    1,155.05x = 1,594.04 × 682.82
  4. Step 4: Simplify right side
    1,155.05x = 1,088,442.39
  5. Step 5: Solve for x
    x = 1,088,442.39/1,155.05
  6. Step 6: Final answer
    x = 942.33

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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.