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Finding the Fourth Proportional to 1,110.28, 1,664.89 and 330.08

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Solution

The fourth proportional to 1,110.28, 1,664.89 and 330.08 is: 494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.28 : 1,664.89 = 330.08 : x
  2. Step 2: Convert to fraction form
    1,110.28/1,664.89 = 330.08/x
  3. Step 3: Cross multiply
    1,110.28x = 1,664.89 × 330.08
  4. Step 4: Simplify right side
    1,110.28x = 549,549.67
  5. Step 5: Solve for x
    x = 549,549.67/1,110.28
  6. Step 6: Final answer
    x = 494.96

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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.