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Finding the Fourth Proportional to 1,078.26, 1,609.82 and 976.20

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Solution

The fourth proportional to 1,078.26, 1,609.82 and 976.20 is: 1,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.26 : 1,609.82 = 976.20 : x
  2. Step 2: Convert to fraction form
    1,078.26/1,609.82 = 976.20/x
  3. Step 3: Cross multiply
    1,078.26x = 1,609.82 × 976.20
  4. Step 4: Simplify right side
    1,078.26x = 1,571,501.40
  5. Step 5: Solve for x
    x = 1,571,501.40/1,078.26
  6. Step 6: Final answer
    x = 1,457.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.