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Finding the Fourth Proportional to 1,050.72, 1,449.91 and 608.54

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Solution

The fourth proportional to 1,050.72, 1,449.91 and 608.54 is: 839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.72 : 1,449.91 = 608.54 : x
  2. Step 2: Convert to fraction form
    1,050.72/1,449.91 = 608.54/x
  3. Step 3: Cross multiply
    1,050.72x = 1,449.91 × 608.54
  4. Step 4: Simplify right side
    1,050.72x = 882,328.23
  5. Step 5: Solve for x
    x = 882,328.23/1,050.72
  6. Step 6: Final answer
    x = 839.74

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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.