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Finding the Fourth Proportional to 979.53, 1,466.94 and 687.33

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Solution

The fourth proportional to 979.53, 1,466.94 and 687.33 is: 1,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.53 : 1,466.94 = 687.33 : x
  2. Step 2: Convert to fraction form
    979.53/1,466.94 = 687.33/x
  3. Step 3: Cross multiply
    979.53x = 1,466.94 × 687.33
  4. Step 4: Simplify right side
    979.53x = 1,008,271.87
  5. Step 5: Solve for x
    x = 1,008,271.87/979.53
  6. Step 6: Final answer
    x = 1,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.