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Finding the Fourth Proportional to 839.19, 1,158.07 and 466.15

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Solution

The fourth proportional to 839.19, 1,158.07 and 466.15 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.19 : 1,158.07 = 466.15 : x
  2. Step 2: Convert to fraction form
    839.19/1,158.07 = 466.15/x
  3. Step 3: Cross multiply
    839.19x = 1,158.07 × 466.15
  4. Step 4: Simplify right side
    839.19x = 539,834.33
  5. Step 5: Solve for x
    x = 539,834.33/839.19
  6. Step 6: Final answer
    x = 643.28

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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.