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Finding the Fourth Proportional to 601.37, 828.11 and 557.81

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Solution

The fourth proportional to 601.37, 828.11 and 557.81 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.37 : 828.11 = 557.81 : x
  2. Step 2: Convert to fraction form
    601.37/828.11 = 557.81/x
  3. Step 3: Cross multiply
    601.37x = 828.11 × 557.81
  4. Step 4: Simplify right side
    601.37x = 461,925.25
  5. Step 5: Solve for x
    x = 461,925.25/601.37
  6. Step 6: Final answer
    x = 768.12

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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.