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Finding the Fourth Proportional to 1,202.93, 1,803.41 and 535.33

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Solution

The fourth proportional to 1,202.93, 1,803.41 and 535.33 is: 802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.93 : 1,803.41 = 535.33 : x
  2. Step 2: Convert to fraction form
    1,202.93/1,803.41 = 535.33/x
  3. Step 3: Cross multiply
    1,202.93x = 1,803.41 × 535.33
  4. Step 4: Simplify right side
    1,202.93x = 965,424.63
  5. Step 5: Solve for x
    x = 965,424.63/1,202.93
  6. Step 6: Final answer
    x = 802.56

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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.