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Finding the Fourth Proportional to 1,314.48, 1,814.13 and 725.07

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Solution

The fourth proportional to 1,314.48, 1,814.13 and 725.07 is: 1,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.48 : 1,814.13 = 725.07 : x
  2. Step 2: Convert to fraction form
    1,314.48/1,814.13 = 725.07/x
  3. Step 3: Cross multiply
    1,314.48x = 1,814.13 × 725.07
  4. Step 4: Simplify right side
    1,314.48x = 1,315,371.24
  5. Step 5: Solve for x
    x = 1,315,371.24/1,314.48
  6. Step 6: Final answer
    x = 1,000.68

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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.