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Finding the Fourth Proportional to 983.75, 1,473.93 and 617.63

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Solution

The fourth proportional to 983.75, 1,473.93 and 617.63 is: 925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 1,473.93 = 617.63 : x
  2. Step 2: Convert to fraction form
    983.75/1,473.93 = 617.63/x
  3. Step 3: Cross multiply
    983.75x = 1,473.93 × 617.63
  4. Step 4: Simplify right side
    983.75x = 910,336.02
  5. Step 5: Solve for x
    x = 910,336.02/983.75
  6. Step 6: Final answer
    x = 925.38

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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.