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Finding the Fourth Proportional to 835.24, 1,152.44 and 503.52

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Solution

The fourth proportional to 835.24, 1,152.44 and 503.52 is: 694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.24 : 1,152.44 = 503.52 : x
  2. Step 2: Convert to fraction form
    835.24/1,152.44 = 503.52/x
  3. Step 3: Cross multiply
    835.24x = 1,152.44 × 503.52
  4. Step 4: Simplify right side
    835.24x = 580,276.59
  5. Step 5: Solve for x
    x = 580,276.59/835.24
  6. Step 6: Final answer
    x = 694.74

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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.