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Finding the Fourth Proportional to 1,158.15, 1,736.06 and 747.57

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Solution

The fourth proportional to 1,158.15, 1,736.06 and 747.57 is: 1,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.15 : 1,736.06 = 747.57 : x
  2. Step 2: Convert to fraction form
    1,158.15/1,736.06 = 747.57/x
  3. Step 3: Cross multiply
    1,158.15x = 1,736.06 × 747.57
  4. Step 4: Simplify right side
    1,158.15x = 1,297,826.37
  5. Step 5: Solve for x
    x = 1,297,826.37/1,158.15
  6. Step 6: Final answer
    x = 1,120.60

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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.