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Finding the Fourth Proportional to 1,533.06, 2,294.64 and 801.63

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Solution

The fourth proportional to 1,533.06, 2,294.64 and 801.63 is: 1,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.06 : 2,294.64 = 801.63 : x
  2. Step 2: Convert to fraction form
    1,533.06/2,294.64 = 801.63/x
  3. Step 3: Cross multiply
    1,533.06x = 2,294.64 × 801.63
  4. Step 4: Simplify right side
    1,533.06x = 1,839,452.26
  5. Step 5: Solve for x
    x = 1,839,452.26/1,533.06
  6. Step 6: Final answer
    x = 1,199.86

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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.