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Finding the Fourth Proportional to 1,643.14, 2,464.12 and 655.48

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Solution

The fourth proportional to 1,643.14, 2,464.12 and 655.48 is: 982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.14 : 2,464.12 = 655.48 : x
  2. Step 2: Convert to fraction form
    1,643.14/2,464.12 = 655.48/x
  3. Step 3: Cross multiply
    1,643.14x = 2,464.12 × 655.48
  4. Step 4: Simplify right side
    1,643.14x = 1,615,181.38
  5. Step 5: Solve for x
    x = 1,615,181.38/1,643.14
  6. Step 6: Final answer
    x = 982.98

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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.