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Finding the Fourth Proportional to 1,518.58, 2,278.21 and 464.48

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Solution

The fourth proportional to 1,518.58, 2,278.21 and 464.48 is: 696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.58 : 2,278.21 = 464.48 : x
  2. Step 2: Convert to fraction form
    1,518.58/2,278.21 = 464.48/x
  3. Step 3: Cross multiply
    1,518.58x = 2,278.21 × 464.48
  4. Step 4: Simplify right side
    1,518.58x = 1,058,182.98
  5. Step 5: Solve for x
    x = 1,058,182.98/1,518.58
  6. Step 6: Final answer
    x = 696.82

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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.