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Finding the Fourth Proportional to 940.34, 1,409.36 and 708.48

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Solution

The fourth proportional to 940.34, 1,409.36 and 708.48 is: 1,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.34 : 1,409.36 = 708.48 : x
  2. Step 2: Convert to fraction form
    940.34/1,409.36 = 708.48/x
  3. Step 3: Cross multiply
    940.34x = 1,409.36 × 708.48
  4. Step 4: Simplify right side
    940.34x = 998,499.83
  5. Step 5: Solve for x
    x = 998,499.83/940.34
  6. Step 6: Final answer
    x = 1,061.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.