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Finding the Fourth Proportional to 904.28, 1,251.18 and 788.09

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Solution

The fourth proportional to 904.28, 1,251.18 and 788.09 is: 1,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.28 : 1,251.18 = 788.09 : x
  2. Step 2: Convert to fraction form
    904.28/1,251.18 = 788.09/x
  3. Step 3: Cross multiply
    904.28x = 1,251.18 × 788.09
  4. Step 4: Simplify right side
    904.28x = 986,036.19
  5. Step 5: Solve for x
    x = 986,036.19/904.28
  6. Step 6: Final answer
    x = 1,090.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.