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Finding the Fourth Proportional to 1,014.45, 1,522.06 and 398.04

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Solution

The fourth proportional to 1,014.45, 1,522.06 and 398.04 is: 597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.45 : 1,522.06 = 398.04 : x
  2. Step 2: Convert to fraction form
    1,014.45/1,522.06 = 398.04/x
  3. Step 3: Cross multiply
    1,014.45x = 1,522.06 × 398.04
  4. Step 4: Simplify right side
    1,014.45x = 605,840.76
  5. Step 5: Solve for x
    x = 605,840.76/1,014.45
  6. Step 6: Final answer
    x = 597.21

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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.