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Finding the Fourth Proportional to 1,643.64, 2,464.87 and 655.98

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Solution

The fourth proportional to 1,643.64, 2,464.87 and 655.98 is: 983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.64 : 2,464.87 = 655.98 : x
  2. Step 2: Convert to fraction form
    1,643.64/2,464.87 = 655.98/x
  3. Step 3: Cross multiply
    1,643.64x = 2,464.87 × 655.98
  4. Step 4: Simplify right side
    1,643.64x = 1,616,905.42
  5. Step 5: Solve for x
    x = 1,616,905.42/1,643.64
  6. Step 6: Final answer
    x = 983.73

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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.