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Finding the Fourth Proportional to 1,100.77, 1,650.80 and 370.18

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Solution

The fourth proportional to 1,100.77, 1,650.80 and 370.18 is: 555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.77 : 1,650.80 = 370.18 : x
  2. Step 2: Convert to fraction form
    1,100.77/1,650.80 = 370.18/x
  3. Step 3: Cross multiply
    1,100.77x = 1,650.80 × 370.18
  4. Step 4: Simplify right side
    1,100.77x = 611,089.94
  5. Step 5: Solve for x
    x = 611,089.94/1,100.77
  6. Step 6: Final answer
    x = 555.15

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