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Finding the Fourth Proportional to 948.04, 1,422.02 and 289.89

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Solution

The fourth proportional to 948.04, 1,422.02 and 289.89 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.04 : 1,422.02 = 289.89 : x
  2. Step 2: Convert to fraction form
    948.04/1,422.02 = 289.89/x
  3. Step 3: Cross multiply
    948.04x = 1,422.02 × 289.89
  4. Step 4: Simplify right side
    948.04x = 412,229.38
  5. Step 5: Solve for x
    x = 412,229.38/948.04
  6. Step 6: Final answer
    x = 434.82

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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.