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Finding the Fourth Proportional to 975.87, 1,346.72 and 550.53

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Solution

The fourth proportional to 975.87, 1,346.72 and 550.53 is: 759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.87 : 1,346.72 = 550.53 : x
  2. Step 2: Convert to fraction form
    975.87/1,346.72 = 550.53/x
  3. Step 3: Cross multiply
    975.87x = 1,346.72 × 550.53
  4. Step 4: Simplify right side
    975.87x = 741,407.01
  5. Step 5: Solve for x
    x = 741,407.01/975.87
  6. Step 6: Final answer
    x = 759.74

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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.