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Finding the Fourth Proportional to 1,590.27, 2,385.85 and 768.55

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Solution

The fourth proportional to 1,590.27, 2,385.85 and 768.55 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.27 : 2,385.85 = 768.55 : x
  2. Step 2: Convert to fraction form
    1,590.27/2,385.85 = 768.55/x
  3. Step 3: Cross multiply
    1,590.27x = 2,385.85 × 768.55
  4. Step 4: Simplify right side
    1,590.27x = 1,833,635.21
  5. Step 5: Solve for x
    x = 1,833,635.21/1,590.27
  6. Step 6: Final answer
    x = 1,153.03

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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.