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Finding the Fourth Proportional to 668.93, 922.41 and 511.59

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Solution

The fourth proportional to 668.93, 922.41 and 511.59 is: 705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.93 : 922.41 = 511.59 : x
  2. Step 2: Convert to fraction form
    668.93/922.41 = 511.59/x
  3. Step 3: Cross multiply
    668.93x = 922.41 × 511.59
  4. Step 4: Simplify right side
    668.93x = 471,895.73
  5. Step 5: Solve for x
    x = 471,895.73/668.93
  6. Step 6: Final answer
    x = 705.45

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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.