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Finding the Fourth Proportional to 1,209.78, 1,814.68 and 297.78

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Solution

The fourth proportional to 1,209.78, 1,814.68 and 297.78 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.78 : 1,814.68 = 297.78 : x
  2. Step 2: Convert to fraction form
    1,209.78/1,814.68 = 297.78/x
  3. Step 3: Cross multiply
    1,209.78x = 1,814.68 × 297.78
  4. Step 4: Simplify right side
    1,209.78x = 540,373.92
  5. Step 5: Solve for x
    x = 540,373.92/1,209.78
  6. Step 6: Final answer
    x = 446.67

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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.