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Finding the Fourth Proportional to 1,101.98, 1,653.65 and 737.03

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Solution

The fourth proportional to 1,101.98, 1,653.65 and 737.03 is: 1,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.98 : 1,653.65 = 737.03 : x
  2. Step 2: Convert to fraction form
    1,101.98/1,653.65 = 737.03/x
  3. Step 3: Cross multiply
    1,101.98x = 1,653.65 × 737.03
  4. Step 4: Simplify right side
    1,101.98x = 1,218,789.66
  5. Step 5: Solve for x
    x = 1,218,789.66/1,101.98
  6. Step 6: Final answer
    x = 1,106.00

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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.