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Finding the Fourth Proportional to 1,137.15, 1,705.71 and 785.41

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Solution

The fourth proportional to 1,137.15, 1,705.71 and 785.41 is: 1,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.15 : 1,705.71 = 785.41 : x
  2. Step 2: Convert to fraction form
    1,137.15/1,705.71 = 785.41/x
  3. Step 3: Cross multiply
    1,137.15x = 1,705.71 × 785.41
  4. Step 4: Simplify right side
    1,137.15x = 1,339,677.43
  5. Step 5: Solve for x
    x = 1,339,677.43/1,137.15
  6. Step 6: Final answer
    x = 1,178.10

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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.