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Finding the Fourth Proportional to 1,166.72, 1,749.92 and 345.08

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Solution

The fourth proportional to 1,166.72, 1,749.92 and 345.08 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.72 : 1,749.92 = 345.08 : x
  2. Step 2: Convert to fraction form
    1,166.72/1,749.92 = 345.08/x
  3. Step 3: Cross multiply
    1,166.72x = 1,749.92 × 345.08
  4. Step 4: Simplify right side
    1,166.72x = 603,851.92
  5. Step 5: Solve for x
    x = 603,851.92/1,166.72
  6. Step 6: Final answer
    x = 517.57

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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.