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Finding the Fourth Proportional to 905.04, 1,357.58 and 769.04

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Solution

The fourth proportional to 905.04, 1,357.58 and 769.04 is: 1,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,357.58 = 769.04 : x
  2. Step 2: Convert to fraction form
    905.04/1,357.58 = 769.04/x
  3. Step 3: Cross multiply
    905.04x = 1,357.58 × 769.04
  4. Step 4: Simplify right side
    905.04x = 1,044,033.32
  5. Step 5: Solve for x
    x = 1,044,033.32/905.04
  6. Step 6: Final answer
    x = 1,153.58

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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.