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Finding the Fourth Proportional to 1,106.58, 1,527.11 and 640.83

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Solution

The fourth proportional to 1,106.58, 1,527.11 and 640.83 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.58 : 1,527.11 = 640.83 : x
  2. Step 2: Convert to fraction form
    1,106.58/1,527.11 = 640.83/x
  3. Step 3: Cross multiply
    1,106.58x = 1,527.11 × 640.83
  4. Step 4: Simplify right side
    1,106.58x = 978,617.90
  5. Step 5: Solve for x
    x = 978,617.90/1,106.58
  6. Step 6: Final answer
    x = 884.36

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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.