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Finding the Fourth Proportional to 1,273.12, 1,908.85 and 533.08

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Solution

The fourth proportional to 1,273.12, 1,908.85 and 533.08 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.12 : 1,908.85 = 533.08 : x
  2. Step 2: Convert to fraction form
    1,273.12/1,908.85 = 533.08/x
  3. Step 3: Cross multiply
    1,273.12x = 1,908.85 × 533.08
  4. Step 4: Simplify right side
    1,273.12x = 1,017,569.76
  5. Step 5: Solve for x
    x = 1,017,569.76/1,273.12
  6. Step 6: Final answer
    x = 799.27

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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.