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Finding the Fourth Proportional to 844.80, 1,166.02 and 513.24

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Solution

The fourth proportional to 844.80, 1,166.02 and 513.24 is: 708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,166.02 = 513.24 : x
  2. Step 2: Convert to fraction form
    844.80/1,166.02 = 513.24/x
  3. Step 3: Cross multiply
    844.80x = 1,166.02 × 513.24
  4. Step 4: Simplify right side
    844.80x = 598,448.10
  5. Step 5: Solve for x
    x = 598,448.10/844.80
  6. Step 6: Final answer
    x = 708.39

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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.