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Finding the Fourth Proportional to 1,314.76, 1,814.38 and 725.30

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Solution

The fourth proportional to 1,314.76, 1,814.38 and 725.30 is: 1,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.76 : 1,814.38 = 725.30 : x
  2. Step 2: Convert to fraction form
    1,314.76/1,814.38 = 725.30/x
  3. Step 3: Cross multiply
    1,314.76x = 1,814.38 × 725.30
  4. Step 4: Simplify right side
    1,314.76x = 1,315,958.93
  5. Step 5: Solve for x
    x = 1,315,958.93/1,314.76
  6. Step 6: Final answer
    x = 1,000.91

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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.