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Finding the Fourth Proportional to 970.26, 1,338.93 and 550.65

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Solution

The fourth proportional to 970.26, 1,338.93 and 550.65 is: 759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.26 : 1,338.93 = 550.65 : x
  2. Step 2: Convert to fraction form
    970.26/1,338.93 = 550.65/x
  3. Step 3: Cross multiply
    970.26x = 1,338.93 × 550.65
  4. Step 4: Simplify right side
    970.26x = 737,281.80
  5. Step 5: Solve for x
    x = 737,281.80/970.26
  6. Step 6: Final answer
    x = 759.88

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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.