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Finding the Fourth Proportional to 1,068.50, 1,474.54 and 602.76

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Solution

The fourth proportional to 1,068.50, 1,474.54 and 602.76 is: 831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.50 : 1,474.54 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,068.50/1,474.54 = 602.76/x
  3. Step 3: Cross multiply
    1,068.50x = 1,474.54 × 602.76
  4. Step 4: Simplify right side
    1,068.50x = 888,793.73
  5. Step 5: Solve for x
    x = 888,793.73/1,068.50
  6. Step 6: Final answer
    x = 831.81

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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.