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Finding the Fourth Proportional to 933.80, 1,289.33 and 602.42

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Solution

The fourth proportional to 933.80, 1,289.33 and 602.42 is: 831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,289.33 = 602.42 : x
  2. Step 2: Convert to fraction form
    933.80/1,289.33 = 602.42/x
  3. Step 3: Cross multiply
    933.80x = 1,289.33 × 602.42
  4. Step 4: Simplify right side
    933.80x = 776,708.72
  5. Step 5: Solve for x
    x = 776,708.72/933.80
  6. Step 6: Final answer
    x = 831.78

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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.