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Finding the Fourth Proportional to 610.76, 841.38 and 512.48

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Solution

The fourth proportional to 610.76, 841.38 and 512.48 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 841.38 = 512.48 : x
  2. Step 2: Convert to fraction form
    610.76/841.38 = 512.48/x
  3. Step 3: Cross multiply
    610.76x = 841.38 × 512.48
  4. Step 4: Simplify right side
    610.76x = 431,190.42
  5. Step 5: Solve for x
    x = 431,190.42/610.76
  6. Step 6: Final answer
    x = 705.99

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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.