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Finding the Fourth Proportional to 906.34, 1,358.76 and 775.84

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Solution

The fourth proportional to 906.34, 1,358.76 and 775.84 is: 1,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.34 : 1,358.76 = 775.84 : x
  2. Step 2: Convert to fraction form
    906.34/1,358.76 = 775.84/x
  3. Step 3: Cross multiply
    906.34x = 1,358.76 × 775.84
  4. Step 4: Simplify right side
    906.34x = 1,054,180.36
  5. Step 5: Solve for x
    x = 1,054,180.36/906.34
  6. Step 6: Final answer
    x = 1,163.12

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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.