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Finding the Fourth Proportional to 1,026.99, 1,416.67 and 712.44

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Solution

The fourth proportional to 1,026.99, 1,416.67 and 712.44 is: 982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.99 : 1,416.67 = 712.44 : x
  2. Step 2: Convert to fraction form
    1,026.99/1,416.67 = 712.44/x
  3. Step 3: Cross multiply
    1,026.99x = 1,416.67 × 712.44
  4. Step 4: Simplify right side
    1,026.99x = 1,009,292.37
  5. Step 5: Solve for x
    x = 1,009,292.37/1,026.99
  6. Step 6: Final answer
    x = 982.77

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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.