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Finding the Fourth Proportional to 1,104.99, 1,524.87 and 607.65

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Solution

The fourth proportional to 1,104.99, 1,524.87 and 607.65 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.99 : 1,524.87 = 607.65 : x
  2. Step 2: Convert to fraction form
    1,104.99/1,524.87 = 607.65/x
  3. Step 3: Cross multiply
    1,104.99x = 1,524.87 × 607.65
  4. Step 4: Simplify right side
    1,104.99x = 926,587.26
  5. Step 5: Solve for x
    x = 926,587.26/1,104.99
  6. Step 6: Final answer
    x = 838.55

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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.