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Finding the Fourth Proportional to 666.80, 1,001.28 and 522.08

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Solution

The fourth proportional to 666.80, 1,001.28 and 522.08 is: 783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.80 : 1,001.28 = 522.08 : x
  2. Step 2: Convert to fraction form
    666.80/1,001.28 = 522.08/x
  3. Step 3: Cross multiply
    666.80x = 1,001.28 × 522.08
  4. Step 4: Simplify right side
    666.80x = 522,748.26
  5. Step 5: Solve for x
    x = 522,748.26/666.80
  6. Step 6: Final answer
    x = 783.97

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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.