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Finding the Fourth Proportional to 975.65, 1,464.06 and 513.76

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Solution

The fourth proportional to 975.65, 1,464.06 and 513.76 is: 770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,464.06 = 513.76 : x
  2. Step 2: Convert to fraction form
    975.65/1,464.06 = 513.76/x
  3. Step 3: Cross multiply
    975.65x = 1,464.06 × 513.76
  4. Step 4: Simplify right side
    975.65x = 752,169.58
  5. Step 5: Solve for x
    x = 752,169.58/975.65
  6. Step 6: Final answer
    x = 770.95

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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.