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Finding the Fourth Proportional to 821.09, 1,133.06 and 471.75

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Solution

The fourth proportional to 821.09, 1,133.06 and 471.75 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.09 : 1,133.06 = 471.75 : x
  2. Step 2: Convert to fraction form
    821.09/1,133.06 = 471.75/x
  3. Step 3: Cross multiply
    821.09x = 1,133.06 × 471.75
  4. Step 4: Simplify right side
    821.09x = 534,518.70
  5. Step 5: Solve for x
    x = 534,518.70/821.09
  6. Step 6: Final answer
    x = 650.99

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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.