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Finding the Fourth Proportional to 970.14, 1,338.68 and 550.54

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Solution

The fourth proportional to 970.14, 1,338.68 and 550.54 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.14 : 1,338.68 = 550.54 : x
  2. Step 2: Convert to fraction form
    970.14/1,338.68 = 550.54/x
  3. Step 3: Cross multiply
    970.14x = 1,338.68 × 550.54
  4. Step 4: Simplify right side
    970.14x = 736,996.89
  5. Step 5: Solve for x
    x = 736,996.89/970.14
  6. Step 6: Final answer
    x = 759.68

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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.