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Finding the Fourth Proportional to 983.46, 1,475.25 and 253.02

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Solution

The fourth proportional to 983.46, 1,475.25 and 253.02 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.46 : 1,475.25 = 253.02 : x
  2. Step 2: Convert to fraction form
    983.46/1,475.25 = 253.02/x
  3. Step 3: Cross multiply
    983.46x = 1,475.25 × 253.02
  4. Step 4: Simplify right side
    983.46x = 373,272.34
  5. Step 5: Solve for x
    x = 373,272.34/983.46
  6. Step 6: Final answer
    x = 379.55

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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.