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Finding the Fourth Proportional to 1,228.31, 1,841.07 and 533.93

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Solution

The fourth proportional to 1,228.31, 1,841.07 and 533.93 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.31 : 1,841.07 = 533.93 : x
  2. Step 2: Convert to fraction form
    1,228.31/1,841.07 = 533.93/x
  3. Step 3: Cross multiply
    1,228.31x = 1,841.07 × 533.93
  4. Step 4: Simplify right side
    1,228.31x = 982,993.30
  5. Step 5: Solve for x
    x = 982,993.30/1,228.31
  6. Step 6: Final answer
    x = 800.28

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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.