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Finding the Fourth Proportional to 822.02, 1,134.36 and 448.99

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Solution

The fourth proportional to 822.02, 1,134.36 and 448.99 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,134.36 = 448.99 : x
  2. Step 2: Convert to fraction form
    822.02/1,134.36 = 448.99/x
  3. Step 3: Cross multiply
    822.02x = 1,134.36 × 448.99
  4. Step 4: Simplify right side
    822.02x = 509,313.46
  5. Step 5: Solve for x
    x = 509,313.46/822.02
  6. Step 6: Final answer
    x = 619.59

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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.