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Finding the Fourth Proportional to 905.99, 1,357.65 and 535.41

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Solution

The fourth proportional to 905.99, 1,357.65 and 535.41 is: 802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.99 : 1,357.65 = 535.41 : x
  2. Step 2: Convert to fraction form
    905.99/1,357.65 = 535.41/x
  3. Step 3: Cross multiply
    905.99x = 1,357.65 × 535.41
  4. Step 4: Simplify right side
    905.99x = 726,898.05
  5. Step 5: Solve for x
    x = 726,898.05/905.99
  6. Step 6: Final answer
    x = 802.33

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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.