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Finding the Fourth Proportional to 1,533.27, 2,299.91 and 608.84

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Solution

The fourth proportional to 1,533.27, 2,299.91 and 608.84 is: 913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.27 : 2,299.91 = 608.84 : x
  2. Step 2: Convert to fraction form
    1,533.27/2,299.91 = 608.84/x
  3. Step 3: Cross multiply
    1,533.27x = 2,299.91 × 608.84
  4. Step 4: Simplify right side
    1,533.27x = 1,400,267.23
  5. Step 5: Solve for x
    x = 1,400,267.23/1,533.27
  6. Step 6: Final answer
    x = 913.26

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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.