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Finding the Fourth Proportional to 983.68, 1,475.71 and 334.46

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Solution

The fourth proportional to 983.68, 1,475.71 and 334.46 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.68 : 1,475.71 = 334.46 : x
  2. Step 2: Convert to fraction form
    983.68/1,475.71 = 334.46/x
  3. Step 3: Cross multiply
    983.68x = 1,475.71 × 334.46
  4. Step 4: Simplify right side
    983.68x = 493,565.97
  5. Step 5: Solve for x
    x = 493,565.97/983.68
  6. Step 6: Final answer
    x = 501.75

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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.