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Finding the Fourth Proportional to 1,281.78, 1,922.99 and 696.65

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Solution

The fourth proportional to 1,281.78, 1,922.99 and 696.65 is: 1,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.78 : 1,922.99 = 696.65 : x
  2. Step 2: Convert to fraction form
    1,281.78/1,922.99 = 696.65/x
  3. Step 3: Cross multiply
    1,281.78x = 1,922.99 × 696.65
  4. Step 4: Simplify right side
    1,281.78x = 1,339,637.89
  5. Step 5: Solve for x
    x = 1,339,637.89/1,281.78
  6. Step 6: Final answer
    x = 1,045.14

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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.