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Finding the Fourth Proportional to 1,166.12, 1,748.44 and 550

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Solution

The fourth proportional to 1,166.12, 1,748.44 and 550 is: 824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.12 : 1,748.44 = 550 : x
  2. Step 2: Convert to fraction form
    1,166.12/1,748.44 = 550/x
  3. Step 3: Cross multiply
    1,166.12x = 1,748.44 × 550
  4. Step 4: Simplify right side
    1,166.12x = 961,642
  5. Step 5: Solve for x
    x = 961,642/1,166.12
  6. Step 6: Final answer
    x = 824.65

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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.