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Finding the Fourth Proportional to 903.99, 1,355.35 and 464.39

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Solution

The fourth proportional to 903.99, 1,355.35 and 464.39 is: 696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.99 : 1,355.35 = 464.39 : x
  2. Step 2: Convert to fraction form
    903.99/1,355.35 = 464.39/x
  3. Step 3: Cross multiply
    903.99x = 1,355.35 × 464.39
  4. Step 4: Simplify right side
    903.99x = 629,410.99
  5. Step 5: Solve for x
    x = 629,410.99/903.99
  6. Step 6: Final answer
    x = 696.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.