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Finding the Fourth Proportional to 938.56, 1,406.88 and 609.70

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Solution

The fourth proportional to 938.56, 1,406.88 and 609.70 is: 913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.56 : 1,406.88 = 609.70 : x
  2. Step 2: Convert to fraction form
    938.56/1,406.88 = 609.70/x
  3. Step 3: Cross multiply
    938.56x = 1,406.88 × 609.70
  4. Step 4: Simplify right side
    938.56x = 857,774.74
  5. Step 5: Solve for x
    x = 857,774.74/938.56
  6. Step 6: Final answer
    x = 913.93

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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.