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Finding the Fourth Proportional to 983.88, 1,475.46 and 390.72

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Solution

The fourth proportional to 983.88, 1,475.46 and 390.72 is: 585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.88 : 1,475.46 = 390.72 : x
  2. Step 2: Convert to fraction form
    983.88/1,475.46 = 390.72/x
  3. Step 3: Cross multiply
    983.88x = 1,475.46 × 390.72
  4. Step 4: Simplify right side
    983.88x = 576,491.73
  5. Step 5: Solve for x
    x = 576,491.73/983.88
  6. Step 6: Final answer
    x = 585.94

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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.