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Finding the Fourth Proportional to 1,610.63, 2,416.34 and 456.38

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Solution

The fourth proportional to 1,610.63, 2,416.34 and 456.38 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.63 : 2,416.34 = 456.38 : x
  2. Step 2: Convert to fraction form
    1,610.63/2,416.34 = 456.38/x
  3. Step 3: Cross multiply
    1,610.63x = 2,416.34 × 456.38
  4. Step 4: Simplify right side
    1,610.63x = 1,102,758.31
  5. Step 5: Solve for x
    x = 1,102,758.31/1,610.63
  6. Step 6: Final answer
    x = 684.68

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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.