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Finding the Fourth Proportional to 1,322.16, 1,824.57 and 724.68

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Solution

The fourth proportional to 1,322.16, 1,824.57 and 724.68 is: 1,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.16 : 1,824.57 = 724.68 : x
  2. Step 2: Convert to fraction form
    1,322.16/1,824.57 = 724.68/x
  3. Step 3: Cross multiply
    1,322.16x = 1,824.57 × 724.68
  4. Step 4: Simplify right side
    1,322.16x = 1,322,229.39
  5. Step 5: Solve for x
    x = 1,322,229.39/1,322.16
  6. Step 6: Final answer
    x = 1,000.05

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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.