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Finding the Fourth Proportional to 606.54, 831.41 and 598.34

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Solution

The fourth proportional to 606.54, 831.41 and 598.34 is: 820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.54 : 831.41 = 598.34 : x
  2. Step 2: Convert to fraction form
    606.54/831.41 = 598.34/x
  3. Step 3: Cross multiply
    606.54x = 831.41 × 598.34
  4. Step 4: Simplify right side
    606.54x = 497,463.20
  5. Step 5: Solve for x
    x = 497,463.20/606.54
  6. Step 6: Final answer
    x = 820.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.