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Finding the Fourth Proportional to 940.46, 1,409.96 and 735.45

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Solution

The fourth proportional to 940.46, 1,409.96 and 735.45 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.46 : 1,409.96 = 735.45 : x
  2. Step 2: Convert to fraction form
    940.46/1,409.96 = 735.45/x
  3. Step 3: Cross multiply
    940.46x = 1,409.96 × 735.45
  4. Step 4: Simplify right side
    940.46x = 1,036,951.40
  5. Step 5: Solve for x
    x = 1,036,951.40/940.46
  6. Step 6: Final answer
    x = 1,102.61

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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.