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Finding the Fourth Proportional to 1,610.95, 2,416.43 and 440.96

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Solution

The fourth proportional to 1,610.95, 2,416.43 and 440.96 is: 661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.95 : 2,416.43 = 440.96 : x
  2. Step 2: Convert to fraction form
    1,610.95/2,416.43 = 440.96/x
  3. Step 3: Cross multiply
    1,610.95x = 2,416.43 × 440.96
  4. Step 4: Simplify right side
    1,610.95x = 1,065,559.30
  5. Step 5: Solve for x
    x = 1,065,559.30/1,610.95
  6. Step 6: Final answer
    x = 661.45

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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.