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Finding the Fourth Proportional to 652.02, 901.06 and 494.54

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Solution

The fourth proportional to 652.02, 901.06 and 494.54 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 901.06 = 494.54 : x
  2. Step 2: Convert to fraction form
    652.02/901.06 = 494.54/x
  3. Step 3: Cross multiply
    652.02x = 901.06 × 494.54
  4. Step 4: Simplify right side
    652.02x = 445,610.21
  5. Step 5: Solve for x
    x = 445,610.21/652.02
  6. Step 6: Final answer
    x = 683.43

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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.