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Finding the Fourth Proportional to 949.84, 1,310.31 and 618.46

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Solution

The fourth proportional to 949.84, 1,310.31 and 618.46 is: 853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.84 : 1,310.31 = 618.46 : x
  2. Step 2: Convert to fraction form
    949.84/1,310.31 = 618.46/x
  3. Step 3: Cross multiply
    949.84x = 1,310.31 × 618.46
  4. Step 4: Simplify right side
    949.84x = 810,374.32
  5. Step 5: Solve for x
    x = 810,374.32/949.84
  6. Step 6: Final answer
    x = 853.17

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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.