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Finding the Fourth Proportional to 1,314.69, 1,814.24 and 725.22

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Solution

The fourth proportional to 1,314.69, 1,814.24 and 725.22 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.69 : 1,814.24 = 725.22 : x
  2. Step 2: Convert to fraction form
    1,314.69/1,814.24 = 725.22/x
  3. Step 3: Cross multiply
    1,314.69x = 1,814.24 × 725.22
  4. Step 4: Simplify right side
    1,314.69x = 1,315,719.51
  5. Step 5: Solve for x
    x = 1,315,719.51/1,314.69
  6. Step 6: Final answer
    x = 1,000.78

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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.