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Finding the Fourth Proportional to 908.88, 1,356.65 and 831.93

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Solution

The fourth proportional to 908.88, 1,356.65 and 831.93 is: 1,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.88 : 1,356.65 = 831.93 : x
  2. Step 2: Convert to fraction form
    908.88/1,356.65 = 831.93/x
  3. Step 3: Cross multiply
    908.88x = 1,356.65 × 831.93
  4. Step 4: Simplify right side
    908.88x = 1,128,637.83
  5. Step 5: Solve for x
    x = 1,128,637.83/908.88
  6. Step 6: Final answer
    x = 1,241.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.