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Finding the Fourth Proportional to 1,107.12, 1,527.62 and 664.86

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Solution

The fourth proportional to 1,107.12, 1,527.62 and 664.86 is: 917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.12 : 1,527.62 = 664.86 : x
  2. Step 2: Convert to fraction form
    1,107.12/1,527.62 = 664.86/x
  3. Step 3: Cross multiply
    1,107.12x = 1,527.62 × 664.86
  4. Step 4: Simplify right side
    1,107.12x = 1,015,650.11
  5. Step 5: Solve for x
    x = 1,015,650.11/1,107.12
  6. Step 6: Final answer
    x = 917.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.