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Finding the Fourth Proportional to 750.77, 1,035.33 and 584.92

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Solution

The fourth proportional to 750.77, 1,035.33 and 584.92 is: 806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.77 : 1,035.33 = 584.92 : x
  2. Step 2: Convert to fraction form
    750.77/1,035.33 = 584.92/x
  3. Step 3: Cross multiply
    750.77x = 1,035.33 × 584.92
  4. Step 4: Simplify right side
    750.77x = 605,587.61
  5. Step 5: Solve for x
    x = 605,587.61/750.77
  6. Step 6: Final answer
    x = 806.62

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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.