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Finding the Fourth Proportional to 543.49, 810.06 and 512.73

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Solution

The fourth proportional to 543.49, 810.06 and 512.73 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 810.06 = 512.73 : x
  2. Step 2: Convert to fraction form
    543.49/810.06 = 512.73/x
  3. Step 3: Cross multiply
    543.49x = 810.06 × 512.73
  4. Step 4: Simplify right side
    543.49x = 415,342.06
  5. Step 5: Solve for x
    x = 415,342.06/543.49
  6. Step 6: Final answer
    x = 764.21

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.