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Finding the Fourth Proportional to 975.38, 1,463.81 and 513.07

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Solution

The fourth proportional to 975.38, 1,463.81 and 513.07 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.38 : 1,463.81 = 513.07 : x
  2. Step 2: Convert to fraction form
    975.38/1,463.81 = 513.07/x
  3. Step 3: Cross multiply
    975.38x = 1,463.81 × 513.07
  4. Step 4: Simplify right side
    975.38x = 751,030.77
  5. Step 5: Solve for x
    x = 751,030.77/975.38
  6. Step 6: Final answer
    x = 769.99

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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.