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Finding the Fourth Proportional to 601.59, 831.74 and 575.78

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Solution

The fourth proportional to 601.59, 831.74 and 575.78 is: 796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.59 : 831.74 = 575.78 : x
  2. Step 2: Convert to fraction form
    601.59/831.74 = 575.78/x
  3. Step 3: Cross multiply
    601.59x = 831.74 × 575.78
  4. Step 4: Simplify right side
    601.59x = 478,892.22
  5. Step 5: Solve for x
    x = 478,892.22/601.59
  6. Step 6: Final answer
    x = 796.04

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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.