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Finding the Fourth Proportional to 1,561.15, 2,342.01 and 465.39

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Solution

The fourth proportional to 1,561.15, 2,342.01 and 465.39 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.15 : 2,342.01 = 465.39 : x
  2. Step 2: Convert to fraction form
    1,561.15/2,342.01 = 465.39/x
  3. Step 3: Cross multiply
    1,561.15x = 2,342.01 × 465.39
  4. Step 4: Simplify right side
    1,561.15x = 1,089,949.78
  5. Step 5: Solve for x
    x = 1,089,949.78/1,561.15
  6. Step 6: Final answer
    x = 698.17

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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.