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Finding the Fourth Proportional to 800.77, 1,104.61 and 505.53

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Solution

The fourth proportional to 800.77, 1,104.61 and 505.53 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.77 : 1,104.61 = 505.53 : x
  2. Step 2: Convert to fraction form
    800.77/1,104.61 = 505.53/x
  3. Step 3: Cross multiply
    800.77x = 1,104.61 × 505.53
  4. Step 4: Simplify right side
    800.77x = 558,413.49
  5. Step 5: Solve for x
    x = 558,413.49/800.77
  6. Step 6: Final answer
    x = 697.35

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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.