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Finding the Fourth Proportional to 822.93, 1,134.99 and 665.52

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Solution

The fourth proportional to 822.93, 1,134.99 and 665.52 is: 917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.93 : 1,134.99 = 665.52 : x
  2. Step 2: Convert to fraction form
    822.93/1,134.99 = 665.52/x
  3. Step 3: Cross multiply
    822.93x = 1,134.99 × 665.52
  4. Step 4: Simplify right side
    822.93x = 755,358.54
  5. Step 5: Solve for x
    x = 755,358.54/822.93
  6. Step 6: Final answer
    x = 917.89

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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.