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Finding the Fourth Proportional to 1,646.12, 2,468.44 and 475.86

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Solution

The fourth proportional to 1,646.12, 2,468.44 and 475.86 is: 713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.12 : 2,468.44 = 475.86 : x
  2. Step 2: Convert to fraction form
    1,646.12/2,468.44 = 475.86/x
  3. Step 3: Cross multiply
    1,646.12x = 2,468.44 × 475.86
  4. Step 4: Simplify right side
    1,646.12x = 1,174,631.86
  5. Step 5: Solve for x
    x = 1,174,631.86/1,646.12
  6. Step 6: Final answer
    x = 713.58

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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.