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Finding the Fourth Proportional to 821.36, 1,134.40 and 558.96

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Solution

The fourth proportional to 821.36, 1,134.40 and 558.96 is: 771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.36 : 1,134.40 = 558.96 : x
  2. Step 2: Convert to fraction form
    821.36/1,134.40 = 558.96/x
  3. Step 3: Cross multiply
    821.36x = 1,134.40 × 558.96
  4. Step 4: Simplify right side
    821.36x = 634,084.22
  5. Step 5: Solve for x
    x = 634,084.22/821.36
  6. Step 6: Final answer
    x = 771.99

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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.