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Finding the Fourth Proportional to 1,109.88, 1,664.40 and 369.36

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Solution

The fourth proportional to 1,109.88, 1,664.40 and 369.36 is: 553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.88 : 1,664.40 = 369.36 : x
  2. Step 2: Convert to fraction form
    1,109.88/1,664.40 = 369.36/x
  3. Step 3: Cross multiply
    1,109.88x = 1,664.40 × 369.36
  4. Step 4: Simplify right side
    1,109.88x = 614,762.78
  5. Step 5: Solve for x
    x = 614,762.78/1,109.88
  6. Step 6: Final answer
    x = 553.90

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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.