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Finding the Fourth Proportional to 653.62, 977.52 and 580.96

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Solution

The fourth proportional to 653.62, 977.52 and 580.96 is: 868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.62 : 977.52 = 580.96 : x
  2. Step 2: Convert to fraction form
    653.62/977.52 = 580.96/x
  3. Step 3: Cross multiply
    653.62x = 977.52 × 580.96
  4. Step 4: Simplify right side
    653.62x = 567,900.02
  5. Step 5: Solve for x
    x = 567,900.02/653.62
  6. Step 6: Final answer
    x = 868.85

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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.