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Finding the Fourth Proportional to 668.48, 1,002.24 and 524.48

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Solution

The fourth proportional to 668.48, 1,002.24 and 524.48 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 1,002.24 = 524.48 : x
  2. Step 2: Convert to fraction form
    668.48/1,002.24 = 524.48/x
  3. Step 3: Cross multiply
    668.48x = 1,002.24 × 524.48
  4. Step 4: Simplify right side
    668.48x = 525,654.84
  5. Step 5: Solve for x
    x = 525,654.84/668.48
  6. Step 6: Final answer
    x = 786.34

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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.