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Finding the Fourth Proportional to 1,437.77, 1,984.10 and 799.75

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Solution

The fourth proportional to 1,437.77, 1,984.10 and 799.75 is: 1,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.77 : 1,984.10 = 799.75 : x
  2. Step 2: Convert to fraction form
    1,437.77/1,984.10 = 799.75/x
  3. Step 3: Cross multiply
    1,437.77x = 1,984.10 × 799.75
  4. Step 4: Simplify right side
    1,437.77x = 1,586,775.02
  5. Step 5: Solve for x
    x = 1,586,775.02/1,437.77
  6. Step 6: Final answer
    x = 1,103.64

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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.