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Finding the Fourth Proportional to 903.64, 1,353.42 and 551.30

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Solution

The fourth proportional to 903.64, 1,353.42 and 551.30 is: 825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,353.42 = 551.30 : x
  2. Step 2: Convert to fraction form
    903.64/1,353.42 = 551.30/x
  3. Step 3: Cross multiply
    903.64x = 1,353.42 × 551.30
  4. Step 4: Simplify right side
    903.64x = 746,140.45
  5. Step 5: Solve for x
    x = 746,140.45/903.64
  6. Step 6: Final answer
    x = 825.71

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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.