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Finding the Fourth Proportional to 986.41, 1,477.80 and 711.19

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Solution

The fourth proportional to 986.41, 1,477.80 and 711.19 is: 1,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.41 : 1,477.80 = 711.19 : x
  2. Step 2: Convert to fraction form
    986.41/1,477.80 = 711.19/x
  3. Step 3: Cross multiply
    986.41x = 1,477.80 × 711.19
  4. Step 4: Simplify right side
    986.41x = 1,050,996.58
  5. Step 5: Solve for x
    x = 1,050,996.58/986.41
  6. Step 6: Final answer
    x = 1,065.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.