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Finding the Fourth Proportional to 1,618, 2,427.41 and 463.75

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Solution

The fourth proportional to 1,618, 2,427.41 and 463.75 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618 : 2,427.41 = 463.75 : x
  2. Step 2: Convert to fraction form
    1,618/2,427.41 = 463.75/x
  3. Step 3: Cross multiply
    1,618x = 2,427.41 × 463.75
  4. Step 4: Simplify right side
    1,618x = 1,125,709.07
  5. Step 5: Solve for x
    x = 1,125,709.07/1,618
  6. Step 6: Final answer
    x = 695.74

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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.