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Finding the Fourth Proportional to 1,110.91, 1,666.12 and 330.70

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Solution

The fourth proportional to 1,110.91, 1,666.12 and 330.70 is: 495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.91 : 1,666.12 = 330.70 : x
  2. Step 2: Convert to fraction form
    1,110.91/1,666.12 = 330.70/x
  3. Step 3: Cross multiply
    1,110.91x = 1,666.12 × 330.70
  4. Step 4: Simplify right side
    1,110.91x = 550,985.88
  5. Step 5: Solve for x
    x = 550,985.88/1,110.91
  6. Step 6: Final answer
    x = 495.98

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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.