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Finding the Fourth Proportional to 659.97, 983.34 and 618.93

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Solution

The fourth proportional to 659.97, 983.34 and 618.93 is: 922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 983.34 = 618.93 : x
  2. Step 2: Convert to fraction form
    659.97/983.34 = 618.93/x
  3. Step 3: Cross multiply
    659.97x = 983.34 × 618.93
  4. Step 4: Simplify right side
    659.97x = 608,618.63
  5. Step 5: Solve for x
    x = 608,618.63/659.97
  6. Step 6: Final answer
    x = 922.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.