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Finding the Fourth Proportional to 653, 979.50 and 190.80

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Solution

The fourth proportional to 653, 979.50 and 190.80 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 979.50 = 190.80 : x
  2. Step 2: Convert to fraction form
    653/979.50 = 190.80/x
  3. Step 3: Cross multiply
    653x = 979.50 × 190.80
  4. Step 4: Simplify right side
    653x = 186,888.60
  5. Step 5: Solve for x
    x = 186,888.60/653
  6. Step 6: Final answer
    x = 286.20

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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.