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Finding the Fourth Proportional to 1,101.36, 1,650.83 and 735.65

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Solution

The fourth proportional to 1,101.36, 1,650.83 and 735.65 is: 1,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.36 : 1,650.83 = 735.65 : x
  2. Step 2: Convert to fraction form
    1,101.36/1,650.83 = 735.65/x
  3. Step 3: Cross multiply
    1,101.36x = 1,650.83 × 735.65
  4. Step 4: Simplify right side
    1,101.36x = 1,214,421.16
  5. Step 5: Solve for x
    x = 1,214,421.16/1,101.36
  6. Step 6: Final answer
    x = 1,102.66

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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.