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Finding the Fourth Proportional to 1,610.59, 2,415.70 and 456.25

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Solution

The fourth proportional to 1,610.59, 2,415.70 and 456.25 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.59 : 2,415.70 = 456.25 : x
  2. Step 2: Convert to fraction form
    1,610.59/2,415.70 = 456.25/x
  3. Step 3: Cross multiply
    1,610.59x = 2,415.70 × 456.25
  4. Step 4: Simplify right side
    1,610.59x = 1,102,163.13
  5. Step 5: Solve for x
    x = 1,102,163.13/1,610.59
  6. Step 6: Final answer
    x = 684.32

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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.