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Finding the Fourth Proportional to 1,110.06, 1,664.94 and 330.14

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Solution

The fourth proportional to 1,110.06, 1,664.94 and 330.14 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.06 : 1,664.94 = 330.14 : x
  2. Step 2: Convert to fraction form
    1,110.06/1,664.94 = 330.14/x
  3. Step 3: Cross multiply
    1,110.06x = 1,664.94 × 330.14
  4. Step 4: Simplify right side
    1,110.06x = 549,663.29
  5. Step 5: Solve for x
    x = 549,663.29/1,110.06
  6. Step 6: Final answer
    x = 495.17

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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.