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Finding the Fourth Proportional to 668.65, 922.06 and 558.09

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Solution

The fourth proportional to 668.65, 922.06 and 558.09 is: 769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.65 : 922.06 = 558.09 : x
  2. Step 2: Convert to fraction form
    668.65/922.06 = 558.09/x
  3. Step 3: Cross multiply
    668.65x = 922.06 × 558.09
  4. Step 4: Simplify right side
    668.65x = 514,592.47
  5. Step 5: Solve for x
    x = 514,592.47/668.65
  6. Step 6: Final answer
    x = 769.60

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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.