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Finding the Fourth Proportional to 975.67, 1,463.89 and 716.97

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Solution

The fourth proportional to 975.67, 1,463.89 and 716.97 is: 1,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.67 : 1,463.89 = 716.97 : x
  2. Step 2: Convert to fraction form
    975.67/1,463.89 = 716.97/x
  3. Step 3: Cross multiply
    975.67x = 1,463.89 × 716.97
  4. Step 4: Simplify right side
    975.67x = 1,049,565.21
  5. Step 5: Solve for x
    x = 1,049,565.21/975.67
  6. Step 6: Final answer
    x = 1,075.74

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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.