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Finding the Fourth Proportional to 751.96, 1,127.96 and 461.44

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Solution

The fourth proportional to 751.96, 1,127.96 and 461.44 is: 692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,127.96 = 461.44 : x
  2. Step 2: Convert to fraction form
    751.96/1,127.96 = 461.44/x
  3. Step 3: Cross multiply
    751.96x = 1,127.96 × 461.44
  4. Step 4: Simplify right side
    751.96x = 520,485.86
  5. Step 5: Solve for x
    x = 520,485.86/751.96
  6. Step 6: Final answer
    x = 692.17

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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.