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Finding the Fourth Proportional to 653.72, 979.56 and 580.23

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Solution

The fourth proportional to 653.72, 979.56 and 580.23 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 979.56 = 580.23 : x
  2. Step 2: Convert to fraction form
    653.72/979.56 = 580.23/x
  3. Step 3: Cross multiply
    653.72x = 979.56 × 580.23
  4. Step 4: Simplify right side
    653.72x = 568,370.10
  5. Step 5: Solve for x
    x = 568,370.10/653.72
  6. Step 6: Final answer
    x = 869.45

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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.