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Finding the Fourth Proportional to 986.75, 1,475.76 and 877.83

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Solution

The fourth proportional to 986.75, 1,475.76 and 877.83 is: 1,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.75 : 1,475.76 = 877.83 : x
  2. Step 2: Convert to fraction form
    986.75/1,475.76 = 877.83/x
  3. Step 3: Cross multiply
    986.75x = 1,475.76 × 877.83
  4. Step 4: Simplify right side
    986.75x = 1,295,466.40
  5. Step 5: Solve for x
    x = 1,295,466.40/986.75
  6. Step 6: Final answer
    x = 1,312.86

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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.