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Finding the Fourth Proportional to 821.74, 1,232.52 and 294.58

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Solution

The fourth proportional to 821.74, 1,232.52 and 294.58 is: 441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.74 : 1,232.52 = 294.58 : x
  2. Step 2: Convert to fraction form
    821.74/1,232.52 = 294.58/x
  3. Step 3: Cross multiply
    821.74x = 1,232.52 × 294.58
  4. Step 4: Simplify right side
    821.74x = 363,075.74
  5. Step 5: Solve for x
    x = 363,075.74/821.74
  6. Step 6: Final answer
    x = 441.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.