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Finding the Fourth Proportional to 906.56, 1,358.76 and 535.84

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Solution

The fourth proportional to 906.56, 1,358.76 and 535.84 is: 803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 1,358.76 = 535.84 : x
  2. Step 2: Convert to fraction form
    906.56/1,358.76 = 535.84/x
  3. Step 3: Cross multiply
    906.56x = 1,358.76 × 535.84
  4. Step 4: Simplify right side
    906.56x = 728,077.96
  5. Step 5: Solve for x
    x = 728,077.96/906.56
  6. Step 6: Final answer
    x = 803.12

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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.