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Finding the Fourth Proportional to 949.76, 1,310.68 and 601.06

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Solution

The fourth proportional to 949.76, 1,310.68 and 601.06 is: 829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.76 : 1,310.68 = 601.06 : x
  2. Step 2: Convert to fraction form
    949.76/1,310.68 = 601.06/x
  3. Step 3: Cross multiply
    949.76x = 1,310.68 × 601.06
  4. Step 4: Simplify right side
    949.76x = 787,797.32
  5. Step 5: Solve for x
    x = 787,797.32/949.76
  6. Step 6: Final answer
    x = 829.47

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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.