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Finding the Fourth Proportional to 903.96, 1,245.42 and 678.90

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Solution

The fourth proportional to 903.96, 1,245.42 and 678.90 is: 935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.96 : 1,245.42 = 678.90 : x
  2. Step 2: Convert to fraction form
    903.96/1,245.42 = 678.90/x
  3. Step 3: Cross multiply
    903.96x = 1,245.42 × 678.90
  4. Step 4: Simplify right side
    903.96x = 845,515.64
  5. Step 5: Solve for x
    x = 845,515.64/903.96
  6. Step 6: Final answer
    x = 935.35

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