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Finding the Fourth Proportional to 1,137.86, 1,705.07 and 771.38

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Solution

The fourth proportional to 1,137.86, 1,705.07 and 771.38 is: 1,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.86 : 1,705.07 = 771.38 : x
  2. Step 2: Convert to fraction form
    1,137.86/1,705.07 = 771.38/x
  3. Step 3: Cross multiply
    1,137.86x = 1,705.07 × 771.38
  4. Step 4: Simplify right side
    1,137.86x = 1,315,244.51
  5. Step 5: Solve for x
    x = 1,315,244.51/1,137.86
  6. Step 6: Final answer
    x = 1,155.90

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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.