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Finding the Fourth Proportional to 1,158.51, 1,736.71 and 427.90

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Solution

The fourth proportional to 1,158.51, 1,736.71 and 427.90 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.51 : 1,736.71 = 427.90 : x
  2. Step 2: Convert to fraction form
    1,158.51/1,736.71 = 427.90/x
  3. Step 3: Cross multiply
    1,158.51x = 1,736.71 × 427.90
  4. Step 4: Simplify right side
    1,158.51x = 743,138.21
  5. Step 5: Solve for x
    x = 743,138.21/1,158.51
  6. Step 6: Final answer
    x = 641.46

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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.