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Finding the Fourth Proportional to 1,289.67, 1,780.34 and 824.19

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Solution

The fourth proportional to 1,289.67, 1,780.34 and 824.19 is: 1,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.67 : 1,780.34 = 824.19 : x
  2. Step 2: Convert to fraction form
    1,289.67/1,780.34 = 824.19/x
  3. Step 3: Cross multiply
    1,289.67x = 1,780.34 × 824.19
  4. Step 4: Simplify right side
    1,289.67x = 1,467,338.42
  5. Step 5: Solve for x
    x = 1,467,338.42/1,289.67
  6. Step 6: Final answer
    x = 1,137.76

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1.5x scale

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.