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Finding the Fourth Proportional to 1,104.34, 1,523.99 and 607.03

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Solution

The fourth proportional to 1,104.34, 1,523.99 and 607.03 is: 837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.34 : 1,523.99 = 607.03 : x
  2. Step 2: Convert to fraction form
    1,104.34/1,523.99 = 607.03/x
  3. Step 3: Cross multiply
    1,104.34x = 1,523.99 × 607.03
  4. Step 4: Simplify right side
    1,104.34x = 925,107.65
  5. Step 5: Solve for x
    x = 925,107.65/1,104.34
  6. Step 6: Final answer
    x = 837.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.