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Finding the Fourth Proportional to 970.08, 1,338.84 and 596.94

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Solution

The fourth proportional to 970.08, 1,338.84 and 596.94 is: 823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,338.84 = 596.94 : x
  2. Step 2: Convert to fraction form
    970.08/1,338.84 = 596.94/x
  3. Step 3: Cross multiply
    970.08x = 1,338.84 × 596.94
  4. Step 4: Simplify right side
    970.08x = 799,207.15
  5. Step 5: Solve for x
    x = 799,207.15/970.08
  6. Step 6: Final answer
    x = 823.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.