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Finding the Fourth Proportional to 986.42, 1,367.02 and 972.50

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Solution

The fourth proportional to 986.42, 1,367.02 and 972.50 is: 1,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.42 : 1,367.02 = 972.50 : x
  2. Step 2: Convert to fraction form
    986.42/1,367.02 = 972.50/x
  3. Step 3: Cross multiply
    986.42x = 1,367.02 × 972.50
  4. Step 4: Simplify right side
    986.42x = 1,329,422.09
  5. Step 5: Solve for x
    x = 1,329,422.09/986.42
  6. Step 6: Final answer
    x = 1,347.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.