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Finding the Fourth Proportional to 1,166, 1,749.20 and 507.84

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Solution

The fourth proportional to 1,166, 1,749.20 and 507.84 is: 761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 1,749.20 = 507.84 : x
  2. Step 2: Convert to fraction form
    1,166/1,749.20 = 507.84/x
  3. Step 3: Cross multiply
    1,166x = 1,749.20 × 507.84
  4. Step 4: Simplify right side
    1,166x = 888,313.73
  5. Step 5: Solve for x
    x = 888,313.73/1,166
  6. Step 6: Final answer
    x = 761.85

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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.