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Finding the Fourth Proportional to 821.04, 1,133.16 and 471.84

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Solution

The fourth proportional to 821.04, 1,133.16 and 471.84 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,133.16 = 471.84 : x
  2. Step 2: Convert to fraction form
    821.04/1,133.16 = 471.84/x
  3. Step 3: Cross multiply
    821.04x = 1,133.16 × 471.84
  4. Step 4: Simplify right side
    821.04x = 534,670.21
  5. Step 5: Solve for x
    x = 534,670.21/821.04
  6. Step 6: Final answer
    x = 651.21

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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.