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Finding the Fourth Proportional to 946.20, 1,417.46 and 470.60

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Solution

The fourth proportional to 946.20, 1,417.46 and 470.60 is: 704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.20 : 1,417.46 = 470.60 : x
  2. Step 2: Convert to fraction form
    946.20/1,417.46 = 470.60/x
  3. Step 3: Cross multiply
    946.20x = 1,417.46 × 470.60
  4. Step 4: Simplify right side
    946.20x = 667,047.24
  5. Step 5: Solve for x
    x = 667,047.24/946.20
  6. Step 6: Final answer
    x = 704.97

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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.