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Finding the Fourth Proportional to 1,172.31, 1,758.41 and 651.98

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Solution

The fourth proportional to 1,172.31, 1,758.41 and 651.98 is: 977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.31 : 1,758.41 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,172.31/1,758.41 = 651.98/x
  3. Step 3: Cross multiply
    1,172.31x = 1,758.41 × 651.98
  4. Step 4: Simplify right side
    1,172.31x = 1,146,439.36
  5. Step 5: Solve for x
    x = 1,146,439.36/1,172.31
  6. Step 6: Final answer
    x = 977.94

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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.