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Finding the Fourth Proportional to 959.21, 1,437.78 and 464.58

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Solution

The fourth proportional to 959.21, 1,437.78 and 464.58 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.21 : 1,437.78 = 464.58 : x
  2. Step 2: Convert to fraction form
    959.21/1,437.78 = 464.58/x
  3. Step 3: Cross multiply
    959.21x = 1,437.78 × 464.58
  4. Step 4: Simplify right side
    959.21x = 667,961.53
  5. Step 5: Solve for x
    x = 667,961.53/959.21
  6. Step 6: Final answer
    x = 696.36

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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.