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Finding the Fourth Proportional to 1,169.57, 1,749.56 and 1,066.93

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Solution

The fourth proportional to 1,169.57, 1,749.56 and 1,066.93 is: 1,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.57 : 1,749.56 = 1,066.93 : x
  2. Step 2: Convert to fraction form
    1,169.57/1,749.56 = 1,066.93/x
  3. Step 3: Cross multiply
    1,169.57x = 1,749.56 × 1,066.93
  4. Step 4: Simplify right side
    1,169.57x = 1,866,648.34
  5. Step 5: Solve for x
    x = 1,866,648.34/1,169.57
  6. Step 6: Final answer
    x = 1,596.01

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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.