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Finding the Fourth Proportional to 839.74, 1,158.82 and 466.72

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Solution

The fourth proportional to 839.74, 1,158.82 and 466.72 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,158.82 = 466.72 : x
  2. Step 2: Convert to fraction form
    839.74/1,158.82 = 466.72/x
  3. Step 3: Cross multiply
    839.74x = 1,158.82 × 466.72
  4. Step 4: Simplify right side
    839.74x = 540,844.47
  5. Step 5: Solve for x
    x = 540,844.47/839.74
  6. Step 6: Final answer
    x = 644.06

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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.