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Finding the Fourth Proportional to 903.62, 1,353.26 and 772.88

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Solution

The fourth proportional to 903.62, 1,353.26 and 772.88 is: 1,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.62 : 1,353.26 = 772.88 : x
  2. Step 2: Convert to fraction form
    903.62/1,353.26 = 772.88/x
  3. Step 3: Cross multiply
    903.62x = 1,353.26 × 772.88
  4. Step 4: Simplify right side
    903.62x = 1,045,902.75
  5. Step 5: Solve for x
    x = 1,045,902.75/903.62
  6. Step 6: Final answer
    x = 1,157.46

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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.