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Finding the Fourth Proportional to 1,314.36, 1,813.79 and 724.88

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Solution

The fourth proportional to 1,314.36, 1,813.79 and 724.88 is: 1,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.36 : 1,813.79 = 724.88 : x
  2. Step 2: Convert to fraction form
    1,314.36/1,813.79 = 724.88/x
  3. Step 3: Cross multiply
    1,314.36x = 1,813.79 × 724.88
  4. Step 4: Simplify right side
    1,314.36x = 1,314,786.44
  5. Step 5: Solve for x
    x = 1,314,786.44/1,314.36
  6. Step 6: Final answer
    x = 1,000.32

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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.