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Finding the Fourth Proportional to 1,633.02, 2,449.73 and 537.02

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Solution

The fourth proportional to 1,633.02, 2,449.73 and 537.02 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.02 : 2,449.73 = 537.02 : x
  2. Step 2: Convert to fraction form
    1,633.02/2,449.73 = 537.02/x
  3. Step 3: Cross multiply
    1,633.02x = 2,449.73 × 537.02
  4. Step 4: Simplify right side
    1,633.02x = 1,315,554.00
  5. Step 5: Solve for x
    x = 1,315,554.00/1,633.02
  6. Step 6: Final answer
    x = 805.60

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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.