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Finding the Fourth Proportional to 1,212.66, 1,820.34 and 750.65

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Solution

The fourth proportional to 1,212.66, 1,820.34 and 750.65 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.66 : 1,820.34 = 750.65 : x
  2. Step 2: Convert to fraction form
    1,212.66/1,820.34 = 750.65/x
  3. Step 3: Cross multiply
    1,212.66x = 1,820.34 × 750.65
  4. Step 4: Simplify right side
    1,212.66x = 1,366,429.12
  5. Step 5: Solve for x
    x = 1,366,429.12/1,212.66
  6. Step 6: Final answer
    x = 1,126.80

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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.