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Finding the Fourth Proportional to 1,225.17, 1,833.17 and 729.77

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Solution

The fourth proportional to 1,225.17, 1,833.17 and 729.77 is: 1,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.17 : 1,833.17 = 729.77 : x
  2. Step 2: Convert to fraction form
    1,225.17/1,833.17 = 729.77/x
  3. Step 3: Cross multiply
    1,225.17x = 1,833.17 × 729.77
  4. Step 4: Simplify right side
    1,225.17x = 1,337,779.66
  5. Step 5: Solve for x
    x = 1,337,779.66/1,225.17
  6. Step 6: Final answer
    x = 1,091.91

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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.