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Finding the Fourth Proportional to 822.84, 1,135.05 and 574.38

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Solution

The fourth proportional to 822.84, 1,135.05 and 574.38 is: 792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.84 : 1,135.05 = 574.38 : x
  2. Step 2: Convert to fraction form
    822.84/1,135.05 = 574.38/x
  3. Step 3: Cross multiply
    822.84x = 1,135.05 × 574.38
  4. Step 4: Simplify right side
    822.84x = 651,950.02
  5. Step 5: Solve for x
    x = 651,950.02/822.84
  6. Step 6: Final answer
    x = 792.32

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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.