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Finding the Fourth Proportional to 1,322.36, 1,981.58 and 736.55

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Solution

The fourth proportional to 1,322.36, 1,981.58 and 736.55 is: 1,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.36 : 1,981.58 = 736.55 : x
  2. Step 2: Convert to fraction form
    1,322.36/1,981.58 = 736.55/x
  3. Step 3: Cross multiply
    1,322.36x = 1,981.58 × 736.55
  4. Step 4: Simplify right side
    1,322.36x = 1,459,532.11
  5. Step 5: Solve for x
    x = 1,459,532.11/1,322.36
  6. Step 6: Final answer
    x = 1,103.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.