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Finding the Fourth Proportional to 698.08, 963 and 477.04

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Solution

The fourth proportional to 698.08, 963 and 477.04 is: 658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.08 : 963 = 477.04 : x
  2. Step 2: Convert to fraction form
    698.08/963 = 477.04/x
  3. Step 3: Cross multiply
    698.08x = 963 × 477.04
  4. Step 4: Simplify right side
    698.08x = 459,389.52
  5. Step 5: Solve for x
    x = 459,389.52/698.08
  6. Step 6: Final answer
    x = 658.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.