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Finding the Fourth Proportional to 926.02, 1,277.13 and 729.22

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Solution

The fourth proportional to 926.02, 1,277.13 and 729.22 is: 1,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.02 : 1,277.13 = 729.22 : x
  2. Step 2: Convert to fraction form
    926.02/1,277.13 = 729.22/x
  3. Step 3: Cross multiply
    926.02x = 1,277.13 × 729.22
  4. Step 4: Simplify right side
    926.02x = 931,308.74
  5. Step 5: Solve for x
    x = 931,308.74/926.02
  6. Step 6: Final answer
    x = 1,005.71

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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.