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Finding the Fourth Proportional to 975.83, 1,460.88 and 839.75

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Solution

The fourth proportional to 975.83, 1,460.88 and 839.75 is: 1,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.83 : 1,460.88 = 839.75 : x
  2. Step 2: Convert to fraction form
    975.83/1,460.88 = 839.75/x
  3. Step 3: Cross multiply
    975.83x = 1,460.88 × 839.75
  4. Step 4: Simplify right side
    975.83x = 1,226,766.68
  5. Step 5: Solve for x
    x = 1,226,766.68/975.83
  6. Step 6: Final answer
    x = 1,257.16

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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.