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Finding the Fourth Proportional to 1,166.68, 1,749.15 and 508.43

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Solution

The fourth proportional to 1,166.68, 1,749.15 and 508.43 is: 762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.68 : 1,749.15 = 508.43 : x
  2. Step 2: Convert to fraction form
    1,166.68/1,749.15 = 508.43/x
  3. Step 3: Cross multiply
    1,166.68x = 1,749.15 × 508.43
  4. Step 4: Simplify right side
    1,166.68x = 889,327.37
  5. Step 5: Solve for x
    x = 889,327.37/1,166.68
  6. Step 6: Final answer
    x = 762.27

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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.