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Finding the Fourth Proportional to 835.84, 1,253.34 and 527.94

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Solution

The fourth proportional to 835.84, 1,253.34 and 527.94 is: 791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.84 : 1,253.34 = 527.94 : x
  2. Step 2: Convert to fraction form
    835.84/1,253.34 = 527.94/x
  3. Step 3: Cross multiply
    835.84x = 1,253.34 × 527.94
  4. Step 4: Simplify right side
    835.84x = 661,688.32
  5. Step 5: Solve for x
    x = 661,688.32/835.84
  6. Step 6: Final answer
    x = 791.64

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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.