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Finding the Fourth Proportional to 1,207.57, 1,811.59 and 427.60

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Solution

The fourth proportional to 1,207.57, 1,811.59 and 427.60 is: 641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.57 : 1,811.59 = 427.60 : x
  2. Step 2: Convert to fraction form
    1,207.57/1,811.59 = 427.60/x
  3. Step 3: Cross multiply
    1,207.57x = 1,811.59 × 427.60
  4. Step 4: Simplify right side
    1,207.57x = 774,635.88
  5. Step 5: Solve for x
    x = 774,635.88/1,207.57
  6. Step 6: Final answer
    x = 641.48

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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.