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Finding the Fourth Proportional to 1,175.73, 1,763.17 and 353.75

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Solution

The fourth proportional to 1,175.73, 1,763.17 and 353.75 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.73 : 1,763.17 = 353.75 : x
  2. Step 2: Convert to fraction form
    1,175.73/1,763.17 = 353.75/x
  3. Step 3: Cross multiply
    1,175.73x = 1,763.17 × 353.75
  4. Step 4: Simplify right side
    1,175.73x = 623,711.69
  5. Step 5: Solve for x
    x = 623,711.69/1,175.73
  6. Step 6: Final answer
    x = 530.49

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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.