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Finding the Fourth Proportional to 1,110.50, 1,665.38 and 369.95

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Solution

The fourth proportional to 1,110.50, 1,665.38 and 369.95 is: 554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.50 : 1,665.38 = 369.95 : x
  2. Step 2: Convert to fraction form
    1,110.50/1,665.38 = 369.95/x
  3. Step 3: Cross multiply
    1,110.50x = 1,665.38 × 369.95
  4. Step 4: Simplify right side
    1,110.50x = 616,101.66
  5. Step 5: Solve for x
    x = 616,101.66/1,110.50
  6. Step 6: Final answer
    x = 554.80

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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.