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Finding the Fourth Proportional to 1,385.76, 2,078.62 and 359.76

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Solution

The fourth proportional to 1,385.76, 2,078.62 and 359.76 is: 539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.76 : 2,078.62 = 359.76 : x
  2. Step 2: Convert to fraction form
    1,385.76/2,078.62 = 359.76/x
  3. Step 3: Cross multiply
    1,385.76x = 2,078.62 × 359.76
  4. Step 4: Simplify right side
    1,385.76x = 747,804.33
  5. Step 5: Solve for x
    x = 747,804.33/1,385.76
  6. Step 6: Final answer
    x = 539.63

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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.