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Finding the Fourth Proportional to 975.77, 1,464.07 and 513.44

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Solution

The fourth proportional to 975.77, 1,464.07 and 513.44 is: 770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.77 : 1,464.07 = 513.44 : x
  2. Step 2: Convert to fraction form
    975.77/1,464.07 = 513.44/x
  3. Step 3: Cross multiply
    975.77x = 1,464.07 × 513.44
  4. Step 4: Simplify right side
    975.77x = 751,712.10
  5. Step 5: Solve for x
    x = 751,712.10/975.77
  6. Step 6: Final answer
    x = 770.38

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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.