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Finding the Fourth Proportional to 653.94, 908.70 and 645.78

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Solution

The fourth proportional to 653.94, 908.70 and 645.78 is: 897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 908.70 = 645.78 : x
  2. Step 2: Convert to fraction form
    653.94/908.70 = 645.78/x
  3. Step 3: Cross multiply
    653.94x = 908.70 × 645.78
  4. Step 4: Simplify right side
    653.94x = 586,817.06
  5. Step 5: Solve for x
    x = 586,817.06/653.94
  6. Step 6: Final answer
    x = 897.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.