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Finding the Fourth Proportional to 1,166.55, 1,748.96 and 549.91

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Solution

The fourth proportional to 1,166.55, 1,748.96 and 549.91 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.55 : 1,748.96 = 549.91 : x
  2. Step 2: Convert to fraction form
    1,166.55/1,748.96 = 549.91/x
  3. Step 3: Cross multiply
    1,166.55x = 1,748.96 × 549.91
  4. Step 4: Simplify right side
    1,166.55x = 961,762.25
  5. Step 5: Solve for x
    x = 961,762.25/1,166.55
  6. Step 6: Final answer
    x = 824.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.