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Finding the Fourth Proportional to 1,533.56, 2,300.55 and 493.22

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Solution

The fourth proportional to 1,533.56, 2,300.55 and 493.22 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.56 : 2,300.55 = 493.22 : x
  2. Step 2: Convert to fraction form
    1,533.56/2,300.55 = 493.22/x
  3. Step 3: Cross multiply
    1,533.56x = 2,300.55 × 493.22
  4. Step 4: Simplify right side
    1,533.56x = 1,134,663.30
  5. Step 5: Solve for x
    x = 1,134,663.30/1,533.56
  6. Step 6: Final answer
    x = 739.89

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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.