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Finding the Fourth Proportional to 854.08, 1,177.92 and 602.83

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Solution

The fourth proportional to 854.08, 1,177.92 and 602.83 is: 831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.08 : 1,177.92 = 602.83 : x
  2. Step 2: Convert to fraction form
    854.08/1,177.92 = 602.83/x
  3. Step 3: Cross multiply
    854.08x = 1,177.92 × 602.83
  4. Step 4: Simplify right side
    854.08x = 710,086.99
  5. Step 5: Solve for x
    x = 710,086.99/854.08
  6. Step 6: Final answer
    x = 831.41

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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.