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Finding the Fourth Proportional to 1,200.97, 1,803 and 1,151.77

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Solution

The fourth proportional to 1,200.97, 1,803 and 1,151.77 is: 1,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.97 : 1,803 = 1,151.77 : x
  2. Step 2: Convert to fraction form
    1,200.97/1,803 = 1,151.77/x
  3. Step 3: Cross multiply
    1,200.97x = 1,803 × 1,151.77
  4. Step 4: Simplify right side
    1,200.97x = 2,076,641.31
  5. Step 5: Solve for x
    x = 2,076,641.31/1,200.97
  6. Step 6: Final answer
    x = 1,729.14

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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.