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Finding the Fourth Proportional to 1,196.12, 1,794.38 and 374.22

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Solution

The fourth proportional to 1,196.12, 1,794.38 and 374.22 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.12 : 1,794.38 = 374.22 : x
  2. Step 2: Convert to fraction form
    1,196.12/1,794.38 = 374.22/x
  3. Step 3: Cross multiply
    1,196.12x = 1,794.38 × 374.22
  4. Step 4: Simplify right side
    1,196.12x = 671,492.88
  5. Step 5: Solve for x
    x = 671,492.88/1,196.12
  6. Step 6: Final answer
    x = 561.39

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1.5x scale

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.