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Finding the Fourth Proportional to 849.68, 1,171.08 and 652.76

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Solution

The fourth proportional to 849.68, 1,171.08 and 652.76 is: 899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,171.08 = 652.76 : x
  2. Step 2: Convert to fraction form
    849.68/1,171.08 = 652.76/x
  3. Step 3: Cross multiply
    849.68x = 1,171.08 × 652.76
  4. Step 4: Simplify right side
    849.68x = 764,434.18
  5. Step 5: Solve for x
    x = 764,434.18/849.68
  6. Step 6: Final answer
    x = 899.67

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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.