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Finding the Fourth Proportional to 653.94, 981.52 and 289.04

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Solution

The fourth proportional to 653.94, 981.52 and 289.04 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 981.52 = 289.04 : x
  2. Step 2: Convert to fraction form
    653.94/981.52 = 289.04/x
  3. Step 3: Cross multiply
    653.94x = 981.52 × 289.04
  4. Step 4: Simplify right side
    653.94x = 283,692.91
  5. Step 5: Solve for x
    x = 283,692.91/653.94
  6. Step 6: Final answer
    x = 433.82

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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.