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Finding the Fourth Proportional to 986.04, 1,359.50 and 836.40

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Solution

The fourth proportional to 986.04, 1,359.50 and 836.40 is: 1,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.04 : 1,359.50 = 836.40 : x
  2. Step 2: Convert to fraction form
    986.04/1,359.50 = 836.40/x
  3. Step 3: Cross multiply
    986.04x = 1,359.50 × 836.40
  4. Step 4: Simplify right side
    986.04x = 1,137,085.80
  5. Step 5: Solve for x
    x = 1,137,085.80/986.04
  6. Step 6: Final answer
    x = 1,153.18

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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.