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Finding the Fourth Proportional to 822.02, 1,134.53 and 490.57

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Solution

The fourth proportional to 822.02, 1,134.53 and 490.57 is: 677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,134.53 = 490.57 : x
  2. Step 2: Convert to fraction form
    822.02/1,134.53 = 490.57/x
  3. Step 3: Cross multiply
    822.02x = 1,134.53 × 490.57
  4. Step 4: Simplify right side
    822.02x = 556,564.77
  5. Step 5: Solve for x
    x = 556,564.77/822.02
  6. Step 6: Final answer
    x = 677.07

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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.