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Finding the Fourth Proportional to 866.98, 1,196.01 and 590.50

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Solution

The fourth proportional to 866.98, 1,196.01 and 590.50 is: 814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.98 : 1,196.01 = 590.50 : x
  2. Step 2: Convert to fraction form
    866.98/1,196.01 = 590.50/x
  3. Step 3: Cross multiply
    866.98x = 1,196.01 × 590.50
  4. Step 4: Simplify right side
    866.98x = 706,243.91
  5. Step 5: Solve for x
    x = 706,243.91/866.98
  6. Step 6: Final answer
    x = 814.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.