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Finding the Fourth Proportional to 1,181.55, 1,630.51 and 657.57

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Solution

The fourth proportional to 1,181.55, 1,630.51 and 657.57 is: 907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.55 : 1,630.51 = 657.57 : x
  2. Step 2: Convert to fraction form
    1,181.55/1,630.51 = 657.57/x
  3. Step 3: Cross multiply
    1,181.55x = 1,630.51 × 657.57
  4. Step 4: Simplify right side
    1,181.55x = 1,072,163.02
  5. Step 5: Solve for x
    x = 1,072,163.02/1,181.55
  6. Step 6: Final answer
    x = 907.42

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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.