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Finding the Fourth Proportional to 1,765.50, 2,647.74 and 711.32

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Solution

The fourth proportional to 1,765.50, 2,647.74 and 711.32 is: 1,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.50 : 2,647.74 = 711.32 : x
  2. Step 2: Convert to fraction form
    1,765.50/2,647.74 = 711.32/x
  3. Step 3: Cross multiply
    1,765.50x = 2,647.74 × 711.32
  4. Step 4: Simplify right side
    1,765.50x = 1,883,379.85
  5. Step 5: Solve for x
    x = 1,883,379.85/1,765.50
  6. Step 6: Final answer
    x = 1,066.77

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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.