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Finding the Fourth Proportional to 665.64, 1,003.91 and 658.36

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Solution

The fourth proportional to 665.64, 1,003.91 and 658.36 is: 992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 1,003.91 = 658.36 : x
  2. Step 2: Convert to fraction form
    665.64/1,003.91 = 658.36/x
  3. Step 3: Cross multiply
    665.64x = 1,003.91 × 658.36
  4. Step 4: Simplify right side
    665.64x = 660,934.19
  5. Step 5: Solve for x
    x = 660,934.19/665.64
  6. Step 6: Final answer
    x = 992.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.