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Finding the Fourth Proportional to 1,645.68, 2,468.55 and 475.77

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Solution

The fourth proportional to 1,645.68, 2,468.55 and 475.77 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.68 : 2,468.55 = 475.77 : x
  2. Step 2: Convert to fraction form
    1,645.68/2,468.55 = 475.77/x
  3. Step 3: Cross multiply
    1,645.68x = 2,468.55 × 475.77
  4. Step 4: Simplify right side
    1,645.68x = 1,174,447.31
  5. Step 5: Solve for x
    x = 1,174,447.31/1,645.68
  6. Step 6: Final answer
    x = 713.66

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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.