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Finding the Fourth Proportional to 940.20, 1,411.05 and 709.65

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Solution

The fourth proportional to 940.20, 1,411.05 and 709.65 is: 1,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.20 : 1,411.05 = 709.65 : x
  2. Step 2: Convert to fraction form
    940.20/1,411.05 = 709.65/x
  3. Step 3: Cross multiply
    940.20x = 1,411.05 × 709.65
  4. Step 4: Simplify right side
    940.20x = 1,001,351.63
  5. Step 5: Solve for x
    x = 1,001,351.63/940.20
  6. Step 6: Final answer
    x = 1,065.04

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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.