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Finding the Fourth Proportional to 1,050.75, 1,449.92 and 608.57

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Solution

The fourth proportional to 1,050.75, 1,449.92 and 608.57 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.75 : 1,449.92 = 608.57 : x
  2. Step 2: Convert to fraction form
    1,050.75/1,449.92 = 608.57/x
  3. Step 3: Cross multiply
    1,050.75x = 1,449.92 × 608.57
  4. Step 4: Simplify right side
    1,050.75x = 882,369.04
  5. Step 5: Solve for x
    x = 882,369.04/1,050.75
  6. Step 6: Final answer
    x = 839.76

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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.