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Finding the Fourth Proportional to 1,068.81, 1,474.61 and 602.97

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Solution

The fourth proportional to 1,068.81, 1,474.61 and 602.97 is: 831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.81 : 1,474.61 = 602.97 : x
  2. Step 2: Convert to fraction form
    1,068.81/1,474.61 = 602.97/x
  3. Step 3: Cross multiply
    1,068.81x = 1,474.61 × 602.97
  4. Step 4: Simplify right side
    1,068.81x = 889,145.59
  5. Step 5: Solve for x
    x = 889,145.59/1,068.81
  6. Step 6: Final answer
    x = 831.90

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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.