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Finding the Fourth Proportional to 1,533.80, 2,299.06 and 656.76

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Solution

The fourth proportional to 1,533.80, 2,299.06 and 656.76 is: 984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.80 : 2,299.06 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,533.80/2,299.06 = 656.76/x
  3. Step 3: Cross multiply
    1,533.80x = 2,299.06 × 656.76
  4. Step 4: Simplify right side
    1,533.80x = 1,509,930.65
  5. Step 5: Solve for x
    x = 1,509,930.65/1,533.80
  6. Step 6: Final answer
    x = 984.44

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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.