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Finding the Fourth Proportional to 1,610.55, 2,415.83 and 456.31

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Solution

The fourth proportional to 1,610.55, 2,415.83 and 456.31 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.55 : 2,415.83 = 456.31 : x
  2. Step 2: Convert to fraction form
    1,610.55/2,415.83 = 456.31/x
  3. Step 3: Cross multiply
    1,610.55x = 2,415.83 × 456.31
  4. Step 4: Simplify right side
    1,610.55x = 1,102,365.11
  5. Step 5: Solve for x
    x = 1,102,365.11/1,610.55
  6. Step 6: Final answer
    x = 684.47

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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.