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Finding the Fourth Proportional to 1,533.23, 2,300.27 and 493.39

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Solution

The fourth proportional to 1,533.23, 2,300.27 and 493.39 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.23 : 2,300.27 = 493.39 : x
  2. Step 2: Convert to fraction form
    1,533.23/2,300.27 = 493.39/x
  3. Step 3: Cross multiply
    1,533.23x = 2,300.27 × 493.39
  4. Step 4: Simplify right side
    1,533.23x = 1,134,930.62
  5. Step 5: Solve for x
    x = 1,134,930.62/1,533.23
  6. Step 6: Final answer
    x = 740.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.