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Finding the Fourth Proportional to 1,107.59, 1,527.75 and 665.15

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Solution

The fourth proportional to 1,107.59, 1,527.75 and 665.15 is: 917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.59 : 1,527.75 = 665.15 : x
  2. Step 2: Convert to fraction form
    1,107.59/1,527.75 = 665.15/x
  3. Step 3: Cross multiply
    1,107.59x = 1,527.75 × 665.15
  4. Step 4: Simplify right side
    1,107.59x = 1,016,175.27
  5. Step 5: Solve for x
    x = 1,016,175.27/1,107.59
  6. Step 6: Final answer
    x = 917.47

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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.