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Finding the Fourth Proportional to 1,436.02, 1,980.94 and 846.22

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Solution

The fourth proportional to 1,436.02, 1,980.94 and 846.22 is: 1,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.02 : 1,980.94 = 846.22 : x
  2. Step 2: Convert to fraction form
    1,436.02/1,980.94 = 846.22/x
  3. Step 3: Cross multiply
    1,436.02x = 1,980.94 × 846.22
  4. Step 4: Simplify right side
    1,436.02x = 1,676,311.05
  5. Step 5: Solve for x
    x = 1,676,311.05/1,436.02
  6. Step 6: Final answer
    x = 1,167.33

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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.