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Finding the Fourth Proportional to 983.48, 1,475.29 and 253.04

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Solution

The fourth proportional to 983.48, 1,475.29 and 253.04 is: 379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.48 : 1,475.29 = 253.04 : x
  2. Step 2: Convert to fraction form
    983.48/1,475.29 = 253.04/x
  3. Step 3: Cross multiply
    983.48x = 1,475.29 × 253.04
  4. Step 4: Simplify right side
    983.48x = 373,310.44
  5. Step 5: Solve for x
    x = 373,310.44/983.48
  6. Step 6: Final answer
    x = 379.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.