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Finding the Fourth Proportional to 1,181.80, 1,630.84 and 657.82

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Solution

The fourth proportional to 1,181.80, 1,630.84 and 657.82 is: 907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.80 : 1,630.84 = 657.82 : x
  2. Step 2: Convert to fraction form
    1,181.80/1,630.84 = 657.82/x
  3. Step 3: Cross multiply
    1,181.80x = 1,630.84 × 657.82
  4. Step 4: Simplify right side
    1,181.80x = 1,072,799.17
  5. Step 5: Solve for x
    x = 1,072,799.17/1,181.80
  6. Step 6: Final answer
    x = 907.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.