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Finding the Fourth Proportional to 821.46, 1,133.58 and 472.14

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Solution

The fourth proportional to 821.46, 1,133.58 and 472.14 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.46 : 1,133.58 = 472.14 : x
  2. Step 2: Convert to fraction form
    821.46/1,133.58 = 472.14/x
  3. Step 3: Cross multiply
    821.46x = 1,133.58 × 472.14
  4. Step 4: Simplify right side
    821.46x = 535,208.46
  5. Step 5: Solve for x
    x = 535,208.46/821.46
  6. Step 6: Final answer
    x = 651.53

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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.