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Finding the Fourth Proportional to 983.58, 1,475.26 and 617.28

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Solution

The fourth proportional to 983.58, 1,475.26 and 617.28 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.58 : 1,475.26 = 617.28 : x
  2. Step 2: Convert to fraction form
    983.58/1,475.26 = 617.28/x
  3. Step 3: Cross multiply
    983.58x = 1,475.26 × 617.28
  4. Step 4: Simplify right side
    983.58x = 910,648.49
  5. Step 5: Solve for x
    x = 910,648.49/983.58
  6. Step 6: Final answer
    x = 925.85

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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.