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Finding the Fourth Proportional to 986.04, 1,360.80 and 973.80

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Solution

The fourth proportional to 986.04, 1,360.80 and 973.80 is: 1,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.04 : 1,360.80 = 973.80 : x
  2. Step 2: Convert to fraction form
    986.04/1,360.80 = 973.80/x
  3. Step 3: Cross multiply
    986.04x = 1,360.80 × 973.80
  4. Step 4: Simplify right side
    986.04x = 1,325,147.04
  5. Step 5: Solve for x
    x = 1,325,147.04/986.04
  6. Step 6: Final answer
    x = 1,343.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.