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Finding the Fourth Proportional to 1,698.94, 2,549.07 and 603.33

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Solution

The fourth proportional to 1,698.94, 2,549.07 and 603.33 is: 905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.94 : 2,549.07 = 603.33 : x
  2. Step 2: Convert to fraction form
    1,698.94/2,549.07 = 603.33/x
  3. Step 3: Cross multiply
    1,698.94x = 2,549.07 × 603.33
  4. Step 4: Simplify right side
    1,698.94x = 1,537,930.40
  5. Step 5: Solve for x
    x = 1,537,930.40/1,698.94
  6. Step 6: Final answer
    x = 905.23

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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.