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Finding the Fourth Proportional to 1,464.74, 2,197.68 and 642.44

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Solution

The fourth proportional to 1,464.74, 2,197.68 and 642.44 is: 963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.74 : 2,197.68 = 642.44 : x
  2. Step 2: Convert to fraction form
    1,464.74/2,197.68 = 642.44/x
  3. Step 3: Cross multiply
    1,464.74x = 2,197.68 × 642.44
  4. Step 4: Simplify right side
    1,464.74x = 1,411,866.55
  5. Step 5: Solve for x
    x = 1,411,866.55/1,464.74
  6. Step 6: Final answer
    x = 963.91

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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.