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Finding the Fourth Proportional to 781.58, 1,078.44 and 466.94

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Solution

The fourth proportional to 781.58, 1,078.44 and 466.94 is: 644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.58 : 1,078.44 = 466.94 : x
  2. Step 2: Convert to fraction form
    781.58/1,078.44 = 466.94/x
  3. Step 3: Cross multiply
    781.58x = 1,078.44 × 466.94
  4. Step 4: Simplify right side
    781.58x = 503,566.77
  5. Step 5: Solve for x
    x = 503,566.77/781.58
  6. Step 6: Final answer
    x = 644.29

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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.