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Finding the Fourth Proportional to 1,322.02, 1,824.36 and 732.49

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Solution

The fourth proportional to 1,322.02, 1,824.36 and 732.49 is: 1,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.02 : 1,824.36 = 732.49 : x
  2. Step 2: Convert to fraction form
    1,322.02/1,824.36 = 732.49/x
  3. Step 3: Cross multiply
    1,322.02x = 1,824.36 × 732.49
  4. Step 4: Simplify right side
    1,322.02x = 1,336,325.46
  5. Step 5: Solve for x
    x = 1,336,325.46/1,322.02
  6. Step 6: Final answer
    x = 1,010.82

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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.