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Finding the Fourth Proportional to 1,106.91, 1,527.59 and 664.83

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Solution

The fourth proportional to 1,106.91, 1,527.59 and 664.83 is: 917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.91 : 1,527.59 = 664.83 : x
  2. Step 2: Convert to fraction form
    1,106.91/1,527.59 = 664.83/x
  3. Step 3: Cross multiply
    1,106.91x = 1,527.59 × 664.83
  4. Step 4: Simplify right side
    1,106.91x = 1,015,589.32
  5. Step 5: Solve for x
    x = 1,015,589.32/1,106.91
  6. Step 6: Final answer
    x = 917.50

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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.