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Finding the Fourth Proportional to 983.74, 1,477.25 and 614.40

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Solution

The fourth proportional to 983.74, 1,477.25 and 614.40 is: 922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.74 : 1,477.25 = 614.40 : x
  2. Step 2: Convert to fraction form
    983.74/1,477.25 = 614.40/x
  3. Step 3: Cross multiply
    983.74x = 1,477.25 × 614.40
  4. Step 4: Simplify right side
    983.74x = 907,632.01
  5. Step 5: Solve for x
    x = 907,632.01/983.74
  6. Step 6: Final answer
    x = 922.63

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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.