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Finding the Fourth Proportional to 1,111.33, 1,663.38 and 590.59

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Solution

The fourth proportional to 1,111.33, 1,663.38 and 590.59 is: 883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.33 : 1,663.38 = 590.59 : x
  2. Step 2: Convert to fraction form
    1,111.33/1,663.38 = 590.59/x
  3. Step 3: Cross multiply
    1,111.33x = 1,663.38 × 590.59
  4. Step 4: Simplify right side
    1,111.33x = 982,375.59
  5. Step 5: Solve for x
    x = 982,375.59/1,111.33
  6. Step 6: Final answer
    x = 883.96

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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.