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Finding the Fourth Proportional to 751.93, 1,125.84 and 682.22

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Solution

The fourth proportional to 751.93, 1,125.84 and 682.22 is: 1,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.93 : 1,125.84 = 682.22 : x
  2. Step 2: Convert to fraction form
    751.93/1,125.84 = 682.22/x
  3. Step 3: Cross multiply
    751.93x = 1,125.84 × 682.22
  4. Step 4: Simplify right side
    751.93x = 768,069.16
  5. Step 5: Solve for x
    x = 768,069.16/751.93
  6. Step 6: Final answer
    x = 1,021.47

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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.