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Finding the Fourth Proportional to 1,289.86, 1,780.86 and 766.06

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Solution

The fourth proportional to 1,289.86, 1,780.86 and 766.06 is: 1,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.86 : 1,780.86 = 766.06 : x
  2. Step 2: Convert to fraction form
    1,289.86/1,780.86 = 766.06/x
  3. Step 3: Cross multiply
    1,289.86x = 1,780.86 × 766.06
  4. Step 4: Simplify right side
    1,289.86x = 1,364,245.61
  5. Step 5: Solve for x
    x = 1,364,245.61/1,289.86
  6. Step 6: Final answer
    x = 1,057.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.