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Finding the Fourth Proportional to 1,464.51, 2,197.77 and 643.01

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Solution

The fourth proportional to 1,464.51, 2,197.77 and 643.01 is: 964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.51 : 2,197.77 = 643.01 : x
  2. Step 2: Convert to fraction form
    1,464.51/2,197.77 = 643.01/x
  3. Step 3: Cross multiply
    1,464.51x = 2,197.77 × 643.01
  4. Step 4: Simplify right side
    1,464.51x = 1,413,184.87
  5. Step 5: Solve for x
    x = 1,413,184.87/1,464.51
  6. Step 6: Final answer
    x = 964.95

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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.