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Finding the Fourth Proportional to 835.92, 1,153.80 and 504.08

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Solution

The fourth proportional to 835.92, 1,153.80 and 504.08 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,153.80 = 504.08 : x
  2. Step 2: Convert to fraction form
    835.92/1,153.80 = 504.08/x
  3. Step 3: Cross multiply
    835.92x = 1,153.80 × 504.08
  4. Step 4: Simplify right side
    835.92x = 581,607.50
  5. Step 5: Solve for x
    x = 581,607.50/835.92
  6. Step 6: Final answer
    x = 695.77

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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.