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Finding the Fourth Proportional to 1,158.36, 1,736.82 and 645.72

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Solution

The fourth proportional to 1,158.36, 1,736.82 and 645.72 is: 968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.36 : 1,736.82 = 645.72 : x
  2. Step 2: Convert to fraction form
    1,158.36/1,736.82 = 645.72/x
  3. Step 3: Cross multiply
    1,158.36x = 1,736.82 × 645.72
  4. Step 4: Simplify right side
    1,158.36x = 1,121,499.41
  5. Step 5: Solve for x
    x = 1,121,499.41/1,158.36
  6. Step 6: Final answer
    x = 968.18

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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.