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Finding the Fourth Proportional to 822.99, 1,135.83 and 469.04

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Solution

The fourth proportional to 822.99, 1,135.83 and 469.04 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.99 : 1,135.83 = 469.04 : x
  2. Step 2: Convert to fraction form
    822.99/1,135.83 = 469.04/x
  3. Step 3: Cross multiply
    822.99x = 1,135.83 × 469.04
  4. Step 4: Simplify right side
    822.99x = 532,750.04
  5. Step 5: Solve for x
    x = 532,750.04/822.99
  6. Step 6: Final answer
    x = 647.33

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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.