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Finding the Fourth Proportional to 1,464.73, 2,197.47 and 643.16

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Solution

The fourth proportional to 1,464.73, 2,197.47 and 643.16 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.73 : 2,197.47 = 643.16 : x
  2. Step 2: Convert to fraction form
    1,464.73/2,197.47 = 643.16/x
  3. Step 3: Cross multiply
    1,464.73x = 2,197.47 × 643.16
  4. Step 4: Simplify right side
    1,464.73x = 1,413,324.81
  5. Step 5: Solve for x
    x = 1,413,324.81/1,464.73
  6. Step 6: Final answer
    x = 964.91

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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.