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Finding the Fourth Proportional to 1,618.06, 2,427.01 and 463.81

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Solution

The fourth proportional to 1,618.06, 2,427.01 and 463.81 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.06 : 2,427.01 = 463.81 : x
  2. Step 2: Convert to fraction form
    1,618.06/2,427.01 = 463.81/x
  3. Step 3: Cross multiply
    1,618.06x = 2,427.01 × 463.81
  4. Step 4: Simplify right side
    1,618.06x = 1,125,671.51
  5. Step 5: Solve for x
    x = 1,125,671.51/1,618.06
  6. Step 6: Final answer
    x = 695.69

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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.