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Finding the Fourth Proportional to 1,111.76, 1,665.20 and 590.24

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Solution

The fourth proportional to 1,111.76, 1,665.20 and 590.24 is: 884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.76 : 1,665.20 = 590.24 : x
  2. Step 2: Convert to fraction form
    1,111.76/1,665.20 = 590.24/x
  3. Step 3: Cross multiply
    1,111.76x = 1,665.20 × 590.24
  4. Step 4: Simplify right side
    1,111.76x = 982,867.65
  5. Step 5: Solve for x
    x = 982,867.65/1,111.76
  6. Step 6: Final answer
    x = 884.06

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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.