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Finding the Fourth Proportional to 1,314.64, 1,814.25 and 725.23

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Solution

The fourth proportional to 1,314.64, 1,814.25 and 725.23 is: 1,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,814.25 = 725.23 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,814.25 = 725.23/x
  3. Step 3: Cross multiply
    1,314.64x = 1,814.25 × 725.23
  4. Step 4: Simplify right side
    1,314.64x = 1,315,748.53
  5. Step 5: Solve for x
    x = 1,315,748.53/1,314.64
  6. Step 6: Final answer
    x = 1,000.84

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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.