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Finding the Fourth Proportional to 1,158.59, 1,736.67 and 427.70

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Solution

The fourth proportional to 1,158.59, 1,736.67 and 427.70 is: 641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.59 : 1,736.67 = 427.70 : x
  2. Step 2: Convert to fraction form
    1,158.59/1,736.67 = 427.70/x
  3. Step 3: Cross multiply
    1,158.59x = 1,736.67 × 427.70
  4. Step 4: Simplify right side
    1,158.59x = 742,773.76
  5. Step 5: Solve for x
    x = 742,773.76/1,158.59
  6. Step 6: Final answer
    x = 641.10

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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.