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Finding the Fourth Proportional to 751.39, 1,035.81 and 564.89

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Solution

The fourth proportional to 751.39, 1,035.81 and 564.89 is: 778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.39 : 1,035.81 = 564.89 : x
  2. Step 2: Convert to fraction form
    751.39/1,035.81 = 564.89/x
  3. Step 3: Cross multiply
    751.39x = 1,035.81 × 564.89
  4. Step 4: Simplify right side
    751.39x = 585,113.53
  5. Step 5: Solve for x
    x = 585,113.53/751.39
  6. Step 6: Final answer
    x = 778.71

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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.