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Finding the Fourth Proportional to 1,385.16, 2,077.74 and 359.16

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Solution

The fourth proportional to 1,385.16, 2,077.74 and 359.16 is: 538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 2,077.74 = 359.16 : x
  2. Step 2: Convert to fraction form
    1,385.16/2,077.74 = 359.16/x
  3. Step 3: Cross multiply
    1,385.16x = 2,077.74 × 359.16
  4. Step 4: Simplify right side
    1,385.16x = 746,231.96
  5. Step 5: Solve for x
    x = 746,231.96/1,385.16
  6. Step 6: Final answer
    x = 538.73

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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.