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Finding the Fourth Proportional to 1,299.65, 1,949.94 and 569.43

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Solution

The fourth proportional to 1,299.65, 1,949.94 and 569.43 is: 854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.65 : 1,949.94 = 569.43 : x
  2. Step 2: Convert to fraction form
    1,299.65/1,949.94 = 569.43/x
  3. Step 3: Cross multiply
    1,299.65x = 1,949.94 × 569.43
  4. Step 4: Simplify right side
    1,299.65x = 1,110,354.33
  5. Step 5: Solve for x
    x = 1,110,354.33/1,299.65
  6. Step 6: Final answer
    x = 854.35

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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.