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Finding the Fourth Proportional to 835.94, 1,153.17 and 504.14

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Solution

The fourth proportional to 835.94, 1,153.17 and 504.14 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.94 : 1,153.17 = 504.14 : x
  2. Step 2: Convert to fraction form
    835.94/1,153.17 = 504.14/x
  3. Step 3: Cross multiply
    835.94x = 1,153.17 × 504.14
  4. Step 4: Simplify right side
    835.94x = 581,359.12
  5. Step 5: Solve for x
    x = 581,359.12/835.94
  6. Step 6: Final answer
    x = 695.46

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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.