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Finding the Fourth Proportional to 665.12, 997.70 and 482.08

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Solution

The fourth proportional to 665.12, 997.70 and 482.08 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.12 : 997.70 = 482.08 : x
  2. Step 2: Convert to fraction form
    665.12/997.70 = 482.08/x
  3. Step 3: Cross multiply
    665.12x = 997.70 × 482.08
  4. Step 4: Simplify right side
    665.12x = 480,971.22
  5. Step 5: Solve for x
    x = 480,971.22/665.12
  6. Step 6: Final answer
    x = 723.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.