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Finding the Fourth Proportional to 1,110.69, 1,664.85 and 590.37

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Solution

The fourth proportional to 1,110.69, 1,664.85 and 590.37 is: 884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.69 : 1,664.85 = 590.37 : x
  2. Step 2: Convert to fraction form
    1,110.69/1,664.85 = 590.37/x
  3. Step 3: Cross multiply
    1,110.69x = 1,664.85 × 590.37
  4. Step 4: Simplify right side
    1,110.69x = 982,873.47
  5. Step 5: Solve for x
    x = 982,873.47/1,110.69
  6. Step 6: Final answer
    x = 884.92

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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.