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Finding the Fourth Proportional to 1,182.82, 1,774.05 and 662.50

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Solution

The fourth proportional to 1,182.82, 1,774.05 and 662.50 is: 993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.82 : 1,774.05 = 662.50 : x
  2. Step 2: Convert to fraction form
    1,182.82/1,774.05 = 662.50/x
  3. Step 3: Cross multiply
    1,182.82x = 1,774.05 × 662.50
  4. Step 4: Simplify right side
    1,182.82x = 1,175,308.13
  5. Step 5: Solve for x
    x = 1,175,308.13/1,182.82
  6. Step 6: Final answer
    x = 993.65

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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.