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Finding the Fourth Proportional to 1,561.57, 2,342.35 and 465.90

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Solution

The fourth proportional to 1,561.57, 2,342.35 and 465.90 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.57 : 2,342.35 = 465.90 : x
  2. Step 2: Convert to fraction form
    1,561.57/2,342.35 = 465.90/x
  3. Step 3: Cross multiply
    1,561.57x = 2,342.35 × 465.90
  4. Step 4: Simplify right side
    1,561.57x = 1,091,292.66
  5. Step 5: Solve for x
    x = 1,091,292.66/1,561.57
  6. Step 6: Final answer
    x = 698.84

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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.