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Finding the Fourth Proportional to 949.83, 1,310.61 and 634.59

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Solution

The fourth proportional to 949.83, 1,310.61 and 634.59 is: 875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.83 : 1,310.61 = 634.59 : x
  2. Step 2: Convert to fraction form
    949.83/1,310.61 = 634.59/x
  3. Step 3: Cross multiply
    949.83x = 1,310.61 × 634.59
  4. Step 4: Simplify right side
    949.83x = 831,701.59
  5. Step 5: Solve for x
    x = 831,701.59/949.83
  6. Step 6: Final answer
    x = 875.63

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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.