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Finding the Fourth Proportional to 1,166.34, 1,748.16 and 549.66

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Solution

The fourth proportional to 1,166.34, 1,748.16 and 549.66 is: 823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.34 : 1,748.16 = 549.66 : x
  2. Step 2: Convert to fraction form
    1,166.34/1,748.16 = 549.66/x
  3. Step 3: Cross multiply
    1,166.34x = 1,748.16 × 549.66
  4. Step 4: Simplify right side
    1,166.34x = 960,893.63
  5. Step 5: Solve for x
    x = 960,893.63/1,166.34
  6. Step 6: Final answer
    x = 823.85

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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.