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Finding the Fourth Proportional to 1,107.72, 1,662.66 and 491.85

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Solution

The fourth proportional to 1,107.72, 1,662.66 and 491.85 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.72 : 1,662.66 = 491.85 : x
  2. Step 2: Convert to fraction form
    1,107.72/1,662.66 = 491.85/x
  3. Step 3: Cross multiply
    1,107.72x = 1,662.66 × 491.85
  4. Step 4: Simplify right side
    1,107.72x = 817,779.32
  5. Step 5: Solve for x
    x = 817,779.32/1,107.72
  6. Step 6: Final answer
    x = 738.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.