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Finding the Fourth Proportional to 1,110.07, 1,665.42 and 330.07

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Solution

The fourth proportional to 1,110.07, 1,665.42 and 330.07 is: 495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.07 : 1,665.42 = 330.07 : x
  2. Step 2: Convert to fraction form
    1,110.07/1,665.42 = 330.07/x
  3. Step 3: Cross multiply
    1,110.07x = 1,665.42 × 330.07
  4. Step 4: Simplify right side
    1,110.07x = 549,705.18
  5. Step 5: Solve for x
    x = 549,705.18/1,110.07
  6. Step 6: Final answer
    x = 495.20

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Why These Related Problems?

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