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Finding the Fourth Proportional to 602.90, 831.39 and 589.49

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Solution

The fourth proportional to 602.90, 831.39 and 589.49 is: 812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.90 : 831.39 = 589.49 : x
  2. Step 2: Convert to fraction form
    602.90/831.39 = 589.49/x
  3. Step 3: Cross multiply
    602.90x = 831.39 × 589.49
  4. Step 4: Simplify right side
    602.90x = 490,096.09
  5. Step 5: Solve for x
    x = 490,096.09/602.90
  6. Step 6: Final answer
    x = 812.90

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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.