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Finding the Fourth Proportional to 796.02, 1,189.40 and 586.89

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Solution

The fourth proportional to 796.02, 1,189.40 and 586.89 is: 876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,189.40 = 586.89 : x
  2. Step 2: Convert to fraction form
    796.02/1,189.40 = 586.89/x
  3. Step 3: Cross multiply
    796.02x = 1,189.40 × 586.89
  4. Step 4: Simplify right side
    796.02x = 698,044.03
  5. Step 5: Solve for x
    x = 698,044.03/796.02
  6. Step 6: Final answer
    x = 876.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.