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Finding the Fourth Proportional to 1,561.88, 2,342.06 and 465.92

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Solution

The fourth proportional to 1,561.88, 2,342.06 and 465.92 is: 698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.88 : 2,342.06 = 465.92 : x
  2. Step 2: Convert to fraction form
    1,561.88/2,342.06 = 465.92/x
  3. Step 3: Cross multiply
    1,561.88x = 2,342.06 × 465.92
  4. Step 4: Simplify right side
    1,561.88x = 1,091,212.60
  5. Step 5: Solve for x
    x = 1,091,212.60/1,561.88
  6. Step 6: Final answer
    x = 698.65

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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.