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Finding the Fourth Proportional to 1,290.96, 1,936.96 and 633.20

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Solution

The fourth proportional to 1,290.96, 1,936.96 and 633.20 is: 950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.96 : 1,936.96 = 633.20 : x
  2. Step 2: Convert to fraction form
    1,290.96/1,936.96 = 633.20/x
  3. Step 3: Cross multiply
    1,290.96x = 1,936.96 × 633.20
  4. Step 4: Simplify right side
    1,290.96x = 1,226,483.07
  5. Step 5: Solve for x
    x = 1,226,483.07/1,290.96
  6. Step 6: Final answer
    x = 950.06

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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.