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Finding the Fourth Proportional to 1,153.38, 1,722.93 and 1,037.64

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Solution

The fourth proportional to 1,153.38, 1,722.93 and 1,037.64 is: 1,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.38 : 1,722.93 = 1,037.64 : x
  2. Step 2: Convert to fraction form
    1,153.38/1,722.93 = 1,037.64/x
  3. Step 3: Cross multiply
    1,153.38x = 1,722.93 × 1,037.64
  4. Step 4: Simplify right side
    1,153.38x = 1,787,781.09
  5. Step 5: Solve for x
    x = 1,787,781.09/1,153.38
  6. Step 6: Final answer
    x = 1,550.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.