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Finding the Fourth Proportional to 835.69, 1,153.24 and 504.33

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Solution

The fourth proportional to 835.69, 1,153.24 and 504.33 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.69 : 1,153.24 = 504.33 : x
  2. Step 2: Convert to fraction form
    835.69/1,153.24 = 504.33/x
  3. Step 3: Cross multiply
    835.69x = 1,153.24 × 504.33
  4. Step 4: Simplify right side
    835.69x = 581,613.53
  5. Step 5: Solve for x
    x = 581,613.53/835.69
  6. Step 6: Final answer
    x = 695.97

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Double scale
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1.5x scale

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.