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Finding the Fourth Proportional to 987.78, 1,477.35 and 806.34

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Solution

The fourth proportional to 987.78, 1,477.35 and 806.34 is: 1,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.78 : 1,477.35 = 806.34 : x
  2. Step 2: Convert to fraction form
    987.78/1,477.35 = 806.34/x
  3. Step 3: Cross multiply
    987.78x = 1,477.35 × 806.34
  4. Step 4: Simplify right side
    987.78x = 1,191,246.40
  5. Step 5: Solve for x
    x = 1,191,246.40/987.78
  6. Step 6: Final answer
    x = 1,205.98

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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.