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Finding the Fourth Proportional to 949.29, 1,310.15 and 619.19

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Solution

The fourth proportional to 949.29, 1,310.15 and 619.19 is: 854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.29 : 1,310.15 = 619.19 : x
  2. Step 2: Convert to fraction form
    949.29/1,310.15 = 619.19/x
  3. Step 3: Cross multiply
    949.29x = 1,310.15 × 619.19
  4. Step 4: Simplify right side
    949.29x = 811,237.32
  5. Step 5: Solve for x
    x = 811,237.32/949.29
  6. Step 6: Final answer
    x = 854.57

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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.