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Finding the Fourth Proportional to 1,072.49, 1,609.55 and 784.67

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Solution

The fourth proportional to 1,072.49, 1,609.55 and 784.67 is: 1,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.49 : 1,609.55 = 784.67 : x
  2. Step 2: Convert to fraction form
    1,072.49/1,609.55 = 784.67/x
  3. Step 3: Cross multiply
    1,072.49x = 1,609.55 × 784.67
  4. Step 4: Simplify right side
    1,072.49x = 1,262,961.68
  5. Step 5: Solve for x
    x = 1,262,961.68/1,072.49
  6. Step 6: Final answer
    x = 1,177.60

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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.