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Finding the Fourth Proportional to 1,620.11, 2,430.13 and 465.86

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Solution

The fourth proportional to 1,620.11, 2,430.13 and 465.86 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.11 : 2,430.13 = 465.86 : x
  2. Step 2: Convert to fraction form
    1,620.11/2,430.13 = 465.86/x
  3. Step 3: Cross multiply
    1,620.11x = 2,430.13 × 465.86
  4. Step 4: Simplify right side
    1,620.11x = 1,132,100.36
  5. Step 5: Solve for x
    x = 1,132,100.36/1,620.11
  6. Step 6: Final answer
    x = 698.78

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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.