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Finding the Fourth Proportional to 1,533.30, 2,299.70 and 608.79

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Solution

The fourth proportional to 1,533.30, 2,299.70 and 608.79 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.30 : 2,299.70 = 608.79 : x
  2. Step 2: Convert to fraction form
    1,533.30/2,299.70 = 608.79/x
  3. Step 3: Cross multiply
    1,533.30x = 2,299.70 × 608.79
  4. Step 4: Simplify right side
    1,533.30x = 1,400,039.94
  5. Step 5: Solve for x
    x = 1,400,039.94/1,533.30
  6. Step 6: Final answer
    x = 913.09

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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.