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Finding the Fourth Proportional to 970.35, 1,339.11 and 550.65

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Solution

The fourth proportional to 970.35, 1,339.11 and 550.65 is: 759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.35 : 1,339.11 = 550.65 : x
  2. Step 2: Convert to fraction form
    970.35/1,339.11 = 550.65/x
  3. Step 3: Cross multiply
    970.35x = 1,339.11 × 550.65
  4. Step 4: Simplify right side
    970.35x = 737,380.92
  5. Step 5: Solve for x
    x = 737,380.92/970.35
  6. Step 6: Final answer
    x = 759.91

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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.