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Finding the Fourth Proportional to 964.74, 1,447.81 and 417.32

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Solution

The fourth proportional to 964.74, 1,447.81 and 417.32 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.74 : 1,447.81 = 417.32 : x
  2. Step 2: Convert to fraction form
    964.74/1,447.81 = 417.32/x
  3. Step 3: Cross multiply
    964.74x = 1,447.81 × 417.32
  4. Step 4: Simplify right side
    964.74x = 604,197.22
  5. Step 5: Solve for x
    x = 604,197.22/964.74
  6. Step 6: Final answer
    x = 626.28

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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.