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Finding the Fourth Proportional to 1,411.08, 2,114.65 and 679.65

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Solution

The fourth proportional to 1,411.08, 2,114.65 and 679.65 is: 1,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.08 : 2,114.65 = 679.65 : x
  2. Step 2: Convert to fraction form
    1,411.08/2,114.65 = 679.65/x
  3. Step 3: Cross multiply
    1,411.08x = 2,114.65 × 679.65
  4. Step 4: Simplify right side
    1,411.08x = 1,437,221.87
  5. Step 5: Solve for x
    x = 1,437,221.87/1,411.08
  6. Step 6: Final answer
    x = 1,018.53

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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.