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Finding the Fourth Proportional to 1,100.94, 1,651.56 and 370.36

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Solution

The fourth proportional to 1,100.94, 1,651.56 and 370.36 is: 555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.94 : 1,651.56 = 370.36 : x
  2. Step 2: Convert to fraction form
    1,100.94/1,651.56 = 370.36/x
  3. Step 3: Cross multiply
    1,100.94x = 1,651.56 × 370.36
  4. Step 4: Simplify right side
    1,100.94x = 611,671.76
  5. Step 5: Solve for x
    x = 611,671.76/1,100.94
  6. Step 6: Final answer
    x = 555.59

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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.