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Finding the Fourth Proportional to 794.03, 1,196.47 and 652.91

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Solution

The fourth proportional to 794.03, 1,196.47 and 652.91 is: 983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.03 : 1,196.47 = 652.91 : x
  2. Step 2: Convert to fraction form
    794.03/1,196.47 = 652.91/x
  3. Step 3: Cross multiply
    794.03x = 1,196.47 × 652.91
  4. Step 4: Simplify right side
    794.03x = 781,187.23
  5. Step 5: Solve for x
    x = 781,187.23/794.03
  6. Step 6: Final answer
    x = 983.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.