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Finding the Fourth Proportional to 1,109.33, 1,663.56 and 368.70

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Solution

The fourth proportional to 1,109.33, 1,663.56 and 368.70 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.33 : 1,663.56 = 368.70 : x
  2. Step 2: Convert to fraction form
    1,109.33/1,663.56 = 368.70/x
  3. Step 3: Cross multiply
    1,109.33x = 1,663.56 × 368.70
  4. Step 4: Simplify right side
    1,109.33x = 613,352.73
  5. Step 5: Solve for x
    x = 613,352.73/1,109.33
  6. Step 6: Final answer
    x = 552.91

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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.