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Finding the Fourth Proportional to 667.34, 921.48 and 566.76

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Solution

The fourth proportional to 667.34, 921.48 and 566.76 is: 782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 921.48 = 566.76 : x
  2. Step 2: Convert to fraction form
    667.34/921.48 = 566.76/x
  3. Step 3: Cross multiply
    667.34x = 921.48 × 566.76
  4. Step 4: Simplify right side
    667.34x = 522,259.33
  5. Step 5: Solve for x
    x = 522,259.33/667.34
  6. Step 6: Final answer
    x = 782.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.