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Finding the Fourth Proportional to 979.02, 1,460.87 and 875.44

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Solution

The fourth proportional to 979.02, 1,460.87 and 875.44 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.02 : 1,460.87 = 875.44 : x
  2. Step 2: Convert to fraction form
    979.02/1,460.87 = 875.44/x
  3. Step 3: Cross multiply
    979.02x = 1,460.87 × 875.44
  4. Step 4: Simplify right side
    979.02x = 1,278,896.00
  5. Step 5: Solve for x
    x = 1,278,896.00/979.02
  6. Step 6: Final answer
    x = 1,306.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.