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Finding the Fourth Proportional to 1,277.29, 1,913.23 and 729.19

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Solution

The fourth proportional to 1,277.29, 1,913.23 and 729.19 is: 1,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.29 : 1,913.23 = 729.19 : x
  2. Step 2: Convert to fraction form
    1,277.29/1,913.23 = 729.19/x
  3. Step 3: Cross multiply
    1,277.29x = 1,913.23 × 729.19
  4. Step 4: Simplify right side
    1,277.29x = 1,395,108.18
  5. Step 5: Solve for x
    x = 1,395,108.18/1,277.29
  6. Step 6: Final answer
    x = 1,092.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.