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Finding the Fourth Proportional to 653.06, 979.64 and 190.84

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Solution

The fourth proportional to 653.06, 979.64 and 190.84 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 979.64 = 190.84 : x
  2. Step 2: Convert to fraction form
    653.06/979.64 = 190.84/x
  3. Step 3: Cross multiply
    653.06x = 979.64 × 190.84
  4. Step 4: Simplify right side
    653.06x = 186,954.50
  5. Step 5: Solve for x
    x = 186,954.50/653.06
  6. Step 6: Final answer
    x = 286.27

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Double scale
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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.