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Finding the Fourth Proportional to 949.77, 1,309.86 and 729.18

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Solution

The fourth proportional to 949.77, 1,309.86 and 729.18 is: 1,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.77 : 1,309.86 = 729.18 : x
  2. Step 2: Convert to fraction form
    949.77/1,309.86 = 729.18/x
  3. Step 3: Cross multiply
    949.77x = 1,309.86 × 729.18
  4. Step 4: Simplify right side
    949.77x = 955,123.71
  5. Step 5: Solve for x
    x = 955,123.71/949.77
  6. Step 6: Final answer
    x = 1,005.64

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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.