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Finding the Fourth Proportional to 1,139.83, 1,709.21 and 677.67

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Solution

The fourth proportional to 1,139.83, 1,709.21 and 677.67 is: 1,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.83 : 1,709.21 = 677.67 : x
  2. Step 2: Convert to fraction form
    1,139.83/1,709.21 = 677.67/x
  3. Step 3: Cross multiply
    1,139.83x = 1,709.21 × 677.67
  4. Step 4: Simplify right side
    1,139.83x = 1,158,280.34
  5. Step 5: Solve for x
    x = 1,158,280.34/1,139.83
  6. Step 6: Final answer
    x = 1,016.19

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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.