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Finding the Fourth Proportional to 653.84, 895.69 and 629.24

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Solution

The fourth proportional to 653.84, 895.69 and 629.24 is: 861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 895.69 = 629.24 : x
  2. Step 2: Convert to fraction form
    653.84/895.69 = 629.24/x
  3. Step 3: Cross multiply
    653.84x = 895.69 × 629.24
  4. Step 4: Simplify right side
    653.84x = 563,603.98
  5. Step 5: Solve for x
    x = 563,603.98/653.84
  6. Step 6: Final answer
    x = 861.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.