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Finding the Fourth Proportional to 687.30, 949.68 and 541.10

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Solution

The fourth proportional to 687.30, 949.68 and 541.10 is: 747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.30 : 949.68 = 541.10 : x
  2. Step 2: Convert to fraction form
    687.30/949.68 = 541.10/x
  3. Step 3: Cross multiply
    687.30x = 949.68 × 541.10
  4. Step 4: Simplify right side
    687.30x = 513,871.85
  5. Step 5: Solve for x
    x = 513,871.85/687.30
  6. Step 6: Final answer
    x = 747.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.