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Finding the Fourth Proportional to 751.12, 1,034.76 and 517.84

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Solution

The fourth proportional to 751.12, 1,034.76 and 517.84 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.12 : 1,034.76 = 517.84 : x
  2. Step 2: Convert to fraction form
    751.12/1,034.76 = 517.84/x
  3. Step 3: Cross multiply
    751.12x = 1,034.76 × 517.84
  4. Step 4: Simplify right side
    751.12x = 535,840.12
  5. Step 5: Solve for x
    x = 535,840.12/751.12
  6. Step 6: Final answer
    x = 713.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.