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Finding the Fourth Proportional to 899.28, 1,347.21 and 533.70

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Solution

The fourth proportional to 899.28, 1,347.21 and 533.70 is: 799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.28 : 1,347.21 = 533.70 : x
  2. Step 2: Convert to fraction form
    899.28/1,347.21 = 533.70/x
  3. Step 3: Cross multiply
    899.28x = 1,347.21 × 533.70
  4. Step 4: Simplify right side
    899.28x = 719,005.98
  5. Step 5: Solve for x
    x = 719,005.98/899.28
  6. Step 6: Final answer
    x = 799.54

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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.