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Finding the Fourth Proportional to 1,533.16, 2,299.74 and 558.88

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Solution

The fourth proportional to 1,533.16, 2,299.74 and 558.88 is: 838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.16 : 2,299.74 = 558.88 : x
  2. Step 2: Convert to fraction form
    1,533.16/2,299.74 = 558.88/x
  3. Step 3: Cross multiply
    1,533.16x = 2,299.74 × 558.88
  4. Step 4: Simplify right side
    1,533.16x = 1,285,278.69
  5. Step 5: Solve for x
    x = 1,285,278.69/1,533.16
  6. Step 6: Final answer
    x = 838.32

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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.