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Finding the Fourth Proportional to 1,385.85, 2,078.72 and 345.86

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Solution

The fourth proportional to 1,385.85, 2,078.72 and 345.86 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.85 : 2,078.72 = 345.86 : x
  2. Step 2: Convert to fraction form
    1,385.85/2,078.72 = 345.86/x
  3. Step 3: Cross multiply
    1,385.85x = 2,078.72 × 345.86
  4. Step 4: Simplify right side
    1,385.85x = 718,933.98
  5. Step 5: Solve for x
    x = 718,933.98/1,385.85
  6. Step 6: Final answer
    x = 518.77

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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.