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Finding the Fourth Proportional to 970.11, 1,338.48 and 550.44

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Solution

The fourth proportional to 970.11, 1,338.48 and 550.44 is: 759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.11 : 1,338.48 = 550.44 : x
  2. Step 2: Convert to fraction form
    970.11/1,338.48 = 550.44/x
  3. Step 3: Cross multiply
    970.11x = 1,338.48 × 550.44
  4. Step 4: Simplify right side
    970.11x = 736,752.93
  5. Step 5: Solve for x
    x = 736,752.93/970.11
  6. Step 6: Final answer
    x = 759.45

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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.