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Finding the Fourth Proportional to 900.64, 1,349.81 and 406.52

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Solution

The fourth proportional to 900.64, 1,349.81 and 406.52 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.64 : 1,349.81 = 406.52 : x
  2. Step 2: Convert to fraction form
    900.64/1,349.81 = 406.52/x
  3. Step 3: Cross multiply
    900.64x = 1,349.81 × 406.52
  4. Step 4: Simplify right side
    900.64x = 548,722.40
  5. Step 5: Solve for x
    x = 548,722.40/900.64
  6. Step 6: Final answer
    x = 609.26

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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.