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Finding the Fourth Proportional to 829.69, 1,144.12 and 580.93

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Solution

The fourth proportional to 829.69, 1,144.12 and 580.93 is: 801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,144.12 = 580.93 : x
  2. Step 2: Convert to fraction form
    829.69/1,144.12 = 580.93/x
  3. Step 3: Cross multiply
    829.69x = 1,144.12 × 580.93
  4. Step 4: Simplify right side
    829.69x = 664,653.63
  5. Step 5: Solve for x
    x = 664,653.63/829.69
  6. Step 6: Final answer
    x = 801.09

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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.