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Finding the Fourth Proportional to 821.19, 1,133.55 and 506.50

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Solution

The fourth proportional to 821.19, 1,133.55 and 506.50 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.19 : 1,133.55 = 506.50 : x
  2. Step 2: Convert to fraction form
    821.19/1,133.55 = 506.50/x
  3. Step 3: Cross multiply
    821.19x = 1,133.55 × 506.50
  4. Step 4: Simplify right side
    821.19x = 574,143.08
  5. Step 5: Solve for x
    x = 574,143.08/821.19
  6. Step 6: Final answer
    x = 699.16

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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.