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Finding the Fourth Proportional to 975.86, 1,464.01 and 513.86

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Solution

The fourth proportional to 975.86, 1,464.01 and 513.86 is: 770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.86 : 1,464.01 = 513.86 : x
  2. Step 2: Convert to fraction form
    975.86/1,464.01 = 513.86/x
  3. Step 3: Cross multiply
    975.86x = 1,464.01 × 513.86
  4. Step 4: Simplify right side
    975.86x = 752,287.57
  5. Step 5: Solve for x
    x = 752,287.57/975.86
  6. Step 6: Final answer
    x = 770.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.