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Finding the Fourth Proportional to 1,271.65, 1,907.61 and 997.24

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Solution

The fourth proportional to 1,271.65, 1,907.61 and 997.24 is: 1,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.65 : 1,907.61 = 997.24 : x
  2. Step 2: Convert to fraction form
    1,271.65/1,907.61 = 997.24/x
  3. Step 3: Cross multiply
    1,271.65x = 1,907.61 × 997.24
  4. Step 4: Simplify right side
    1,271.65x = 1,902,345.00
  5. Step 5: Solve for x
    x = 1,902,345.00/1,271.65
  6. Step 6: Final answer
    x = 1,495.97

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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.