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Finding the Fourth Proportional to 835.77, 1,253.42 and 563.55

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Solution

The fourth proportional to 835.77, 1,253.42 and 563.55 is: 845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,253.42 = 563.55 : x
  2. Step 2: Convert to fraction form
    835.77/1,253.42 = 563.55/x
  3. Step 3: Cross multiply
    835.77x = 1,253.42 × 563.55
  4. Step 4: Simplify right side
    835.77x = 706,364.84
  5. Step 5: Solve for x
    x = 706,364.84/835.77
  6. Step 6: Final answer
    x = 845.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.