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Finding the Fourth Proportional to 1,196.06, 1,794.06 and 374.24

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Solution

The fourth proportional to 1,196.06, 1,794.06 and 374.24 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.06 : 1,794.06 = 374.24 : x
  2. Step 2: Convert to fraction form
    1,196.06/1,794.06 = 374.24/x
  3. Step 3: Cross multiply
    1,196.06x = 1,794.06 × 374.24
  4. Step 4: Simplify right side
    1,196.06x = 671,409.01
  5. Step 5: Solve for x
    x = 671,409.01/1,196.06
  6. Step 6: Final answer
    x = 561.35

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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.