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Finding the Fourth Proportional to 1,398.04, 2,096.26 and 460.54

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Solution

The fourth proportional to 1,398.04, 2,096.26 and 460.54 is: 690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.04 : 2,096.26 = 460.54 : x
  2. Step 2: Convert to fraction form
    1,398.04/2,096.26 = 460.54/x
  3. Step 3: Cross multiply
    1,398.04x = 2,096.26 × 460.54
  4. Step 4: Simplify right side
    1,398.04x = 965,411.58
  5. Step 5: Solve for x
    x = 965,411.58/1,398.04
  6. Step 6: Final answer
    x = 690.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.