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Finding the Fourth Proportional to 1,330.85, 1,997.18 and 465.16

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Solution

The fourth proportional to 1,330.85, 1,997.18 and 465.16 is: 698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.85 : 1,997.18 = 465.16 : x
  2. Step 2: Convert to fraction form
    1,330.85/1,997.18 = 465.16/x
  3. Step 3: Cross multiply
    1,330.85x = 1,997.18 × 465.16
  4. Step 4: Simplify right side
    1,330.85x = 929,008.25
  5. Step 5: Solve for x
    x = 929,008.25/1,330.85
  6. Step 6: Final answer
    x = 698.06

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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.