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Finding the Fourth Proportional to 821.49, 1,135.14 and 624.66

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Solution

The fourth proportional to 821.49, 1,135.14 and 624.66 is: 863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.49 : 1,135.14 = 624.66 : x
  2. Step 2: Convert to fraction form
    821.49/1,135.14 = 624.66/x
  3. Step 3: Cross multiply
    821.49x = 1,135.14 × 624.66
  4. Step 4: Simplify right side
    821.49x = 709,076.55
  5. Step 5: Solve for x
    x = 709,076.55/821.49
  6. Step 6: Final answer
    x = 863.16

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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.