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Finding the Fourth Proportional to 983.57, 1,475.69 and 496.49

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Solution

The fourth proportional to 983.57, 1,475.69 and 496.49 is: 744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.57 : 1,475.69 = 496.49 : x
  2. Step 2: Convert to fraction form
    983.57/1,475.69 = 496.49/x
  3. Step 3: Cross multiply
    983.57x = 1,475.69 × 496.49
  4. Step 4: Simplify right side
    983.57x = 732,655.47
  5. Step 5: Solve for x
    x = 732,655.47/983.57
  6. Step 6: Final answer
    x = 744.90

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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.