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Finding the Fourth Proportional to 668.20, 1,001.92 and 530.84

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Solution

The fourth proportional to 668.20, 1,001.92 and 530.84 is: 795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 1,001.92 = 530.84 : x
  2. Step 2: Convert to fraction form
    668.20/1,001.92 = 530.84/x
  3. Step 3: Cross multiply
    668.20x = 1,001.92 × 530.84
  4. Step 4: Simplify right side
    668.20x = 531,859.21
  5. Step 5: Solve for x
    x = 531,859.21/668.20
  6. Step 6: Final answer
    x = 795.96

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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.