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Finding the Fourth Proportional to 3,114.03, 4,670.99 and 773.98

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Solution

The fourth proportional to 3,114.03, 4,670.99 and 773.98 is: 1,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.03 : 4,670.99 = 773.98 : x
  2. Step 2: Convert to fraction form
    3,114.03/4,670.99 = 773.98/x
  3. Step 3: Cross multiply
    3,114.03x = 4,670.99 × 773.98
  4. Step 4: Simplify right side
    3,114.03x = 3,615,252.84
  5. Step 5: Solve for x
    x = 3,615,252.84/3,114.03
  6. Step 6: Final answer
    x = 1,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.