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Finding the Fourth Proportional to 975.29, 1,462.97 and 678.22

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Solution

The fourth proportional to 975.29, 1,462.97 and 678.22 is: 1,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.29 : 1,462.97 = 678.22 : x
  2. Step 2: Convert to fraction form
    975.29/1,462.97 = 678.22/x
  3. Step 3: Cross multiply
    975.29x = 1,462.97 × 678.22
  4. Step 4: Simplify right side
    975.29x = 992,213.55
  5. Step 5: Solve for x
    x = 992,213.55/975.29
  6. Step 6: Final answer
    x = 1,017.36

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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.