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Finding the Fourth Proportional to 957.38, 1,435.07 and 470.26

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Solution

The fourth proportional to 957.38, 1,435.07 and 470.26 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.38 : 1,435.07 = 470.26 : x
  2. Step 2: Convert to fraction form
    957.38/1,435.07 = 470.26/x
  3. Step 3: Cross multiply
    957.38x = 1,435.07 × 470.26
  4. Step 4: Simplify right side
    957.38x = 674,856.02
  5. Step 5: Solve for x
    x = 674,856.02/957.38
  6. Step 6: Final answer
    x = 704.90

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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.