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Finding the Fourth Proportional to 986.17, 1,360.09 and 738.08

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Solution

The fourth proportional to 986.17, 1,360.09 and 738.08 is: 1,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.17 : 1,360.09 = 738.08 : x
  2. Step 2: Convert to fraction form
    986.17/1,360.09 = 738.08/x
  3. Step 3: Cross multiply
    986.17x = 1,360.09 × 738.08
  4. Step 4: Simplify right side
    986.17x = 1,003,846.58
  5. Step 5: Solve for x
    x = 1,003,846.58/986.17
  6. Step 6: Final answer
    x = 1,017.93

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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.