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Finding the Fourth Proportional to 883.29, 1,322.76 and 553.41

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Solution

The fourth proportional to 883.29, 1,322.76 and 553.41 is: 828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.29 : 1,322.76 = 553.41 : x
  2. Step 2: Convert to fraction form
    883.29/1,322.76 = 553.41/x
  3. Step 3: Cross multiply
    883.29x = 1,322.76 × 553.41
  4. Step 4: Simplify right side
    883.29x = 732,028.61
  5. Step 5: Solve for x
    x = 732,028.61/883.29
  6. Step 6: Final answer
    x = 828.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.