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Finding the Fourth Proportional to 990.01, 1,483.65 and 843

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Solution

The fourth proportional to 990.01, 1,483.65 and 843 is: 1,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.01 : 1,483.65 = 843 : x
  2. Step 2: Convert to fraction form
    990.01/1,483.65 = 843/x
  3. Step 3: Cross multiply
    990.01x = 1,483.65 × 843
  4. Step 4: Simplify right side
    990.01x = 1,250,716.95
  5. Step 5: Solve for x
    x = 1,250,716.95/990.01
  6. Step 6: Final answer
    x = 1,263.34

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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.