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Finding the Fourth Proportional to 1,165.18, 1,747.74 and 677.86

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Solution

The fourth proportional to 1,165.18, 1,747.74 and 677.86 is: 1,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.18 : 1,747.74 = 677.86 : x
  2. Step 2: Convert to fraction form
    1,165.18/1,747.74 = 677.86/x
  3. Step 3: Cross multiply
    1,165.18x = 1,747.74 × 677.86
  4. Step 4: Simplify right side
    1,165.18x = 1,184,718.67
  5. Step 5: Solve for x
    x = 1,184,718.67/1,165.18
  6. Step 6: Final answer
    x = 1,016.77

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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.