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Finding the Fourth Proportional to 1,137.72, 1,698.27 and 976.44

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Solution

The fourth proportional to 1,137.72, 1,698.27 and 976.44 is: 1,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.72 : 1,698.27 = 976.44 : x
  2. Step 2: Convert to fraction form
    1,137.72/1,698.27 = 976.44/x
  3. Step 3: Cross multiply
    1,137.72x = 1,698.27 × 976.44
  4. Step 4: Simplify right side
    1,137.72x = 1,658,258.76
  5. Step 5: Solve for x
    x = 1,658,258.76/1,137.72
  6. Step 6: Final answer
    x = 1,457.53

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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.