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Finding the Fourth Proportional to 1,182.51, 1,775.07 and 634.55

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Solution

The fourth proportional to 1,182.51, 1,775.07 and 634.55 is: 952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.51 : 1,775.07 = 634.55 : x
  2. Step 2: Convert to fraction form
    1,182.51/1,775.07 = 634.55/x
  3. Step 3: Cross multiply
    1,182.51x = 1,775.07 × 634.55
  4. Step 4: Simplify right side
    1,182.51x = 1,126,361.79
  5. Step 5: Solve for x
    x = 1,126,361.79/1,182.51
  6. Step 6: Final answer
    x = 952.52

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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.