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Finding the Fourth Proportional to 1,772.50, 2,658.77 and 797.94

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Solution

The fourth proportional to 1,772.50, 2,658.77 and 797.94 is: 1,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.50 : 2,658.77 = 797.94 : x
  2. Step 2: Convert to fraction form
    1,772.50/2,658.77 = 797.94/x
  3. Step 3: Cross multiply
    1,772.50x = 2,658.77 × 797.94
  4. Step 4: Simplify right side
    1,772.50x = 2,121,538.93
  5. Step 5: Solve for x
    x = 2,121,538.93/1,772.50
  6. Step 6: Final answer
    x = 1,196.92

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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.