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Finding the Fourth Proportional to 821.64, 1,133.53 and 506.81

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Solution

The fourth proportional to 821.64, 1,133.53 and 506.81 is: 699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.64 : 1,133.53 = 506.81 : x
  2. Step 2: Convert to fraction form
    821.64/1,133.53 = 506.81/x
  3. Step 3: Cross multiply
    821.64x = 1,133.53 × 506.81
  4. Step 4: Simplify right side
    821.64x = 574,484.34
  5. Step 5: Solve for x
    x = 574,484.34/821.64
  6. Step 6: Final answer
    x = 699.19

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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.