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Finding the Fourth Proportional to 1,266.88, 1,900.16 and 496.96

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Solution

The fourth proportional to 1,266.88, 1,900.16 and 496.96 is: 745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.88 : 1,900.16 = 496.96 : x
  2. Step 2: Convert to fraction form
    1,266.88/1,900.16 = 496.96/x
  3. Step 3: Cross multiply
    1,266.88x = 1,900.16 × 496.96
  4. Step 4: Simplify right side
    1,266.88x = 944,303.51
  5. Step 5: Solve for x
    x = 944,303.51/1,266.88
  6. Step 6: Final answer
    x = 745.38

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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.