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Finding the Fourth Proportional to 1,316.94, 1,976.04 and 823.21

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Solution

The fourth proportional to 1,316.94, 1,976.04 and 823.21 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.94 : 1,976.04 = 823.21 : x
  2. Step 2: Convert to fraction form
    1,316.94/1,976.04 = 823.21/x
  3. Step 3: Cross multiply
    1,316.94x = 1,976.04 × 823.21
  4. Step 4: Simplify right side
    1,316.94x = 1,626,692.63
  5. Step 5: Solve for x
    x = 1,626,692.63/1,316.94
  6. Step 6: Final answer
    x = 1,235.21

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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.