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Finding the Fourth Proportional to 1,078.08, 1,617.21 and 347.67

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Solution

The fourth proportional to 1,078.08, 1,617.21 and 347.67 is: 521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.08 : 1,617.21 = 347.67 : x
  2. Step 2: Convert to fraction form
    1,078.08/1,617.21 = 347.67/x
  3. Step 3: Cross multiply
    1,078.08x = 1,617.21 × 347.67
  4. Step 4: Simplify right side
    1,078.08x = 562,255.40
  5. Step 5: Solve for x
    x = 562,255.40/1,078.08
  6. Step 6: Final answer
    x = 521.53

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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.