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Finding the Fourth Proportional to 821.46, 1,134.63 and 597.05

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Solution

The fourth proportional to 821.46, 1,134.63 and 597.05 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.46 : 1,134.63 = 597.05 : x
  2. Step 2: Convert to fraction form
    821.46/1,134.63 = 597.05/x
  3. Step 3: Cross multiply
    821.46x = 1,134.63 × 597.05
  4. Step 4: Simplify right side
    821.46x = 677,425.17
  5. Step 5: Solve for x
    x = 677,425.17/821.46
  6. Step 6: Final answer
    x = 824.66

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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.