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Finding the Fourth Proportional to 1,271.82, 1,907.70 and 501.78

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Solution

The fourth proportional to 1,271.82, 1,907.70 and 501.78 is: 752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.82 : 1,907.70 = 501.78 : x
  2. Step 2: Convert to fraction form
    1,271.82/1,907.70 = 501.78/x
  3. Step 3: Cross multiply
    1,271.82x = 1,907.70 × 501.78
  4. Step 4: Simplify right side
    1,271.82x = 957,245.71
  5. Step 5: Solve for x
    x = 957,245.71/1,271.82
  6. Step 6: Final answer
    x = 752.66

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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.