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Finding the Fourth Proportional to 1,315.44, 1,814.79 and 755.79

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Solution

The fourth proportional to 1,315.44, 1,814.79 and 755.79 is: 1,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.44 : 1,814.79 = 755.79 : x
  2. Step 2: Convert to fraction form
    1,315.44/1,814.79 = 755.79/x
  3. Step 3: Cross multiply
    1,315.44x = 1,814.79 × 755.79
  4. Step 4: Simplify right side
    1,315.44x = 1,371,600.13
  5. Step 5: Solve for x
    x = 1,371,600.13/1,315.44
  6. Step 6: Final answer
    x = 1,042.69

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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.