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Finding the Fourth Proportional to 849.92, 1,172.96 and 477.08

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Solution

The fourth proportional to 849.92, 1,172.96 and 477.08 is: 658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.92 : 1,172.96 = 477.08 : x
  2. Step 2: Convert to fraction form
    849.92/1,172.96 = 477.08/x
  3. Step 3: Cross multiply
    849.92x = 1,172.96 × 477.08
  4. Step 4: Simplify right side
    849.92x = 559,595.76
  5. Step 5: Solve for x
    x = 559,595.76/849.92
  6. Step 6: Final answer
    x = 658.41

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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.