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Finding the Fourth Proportional to 1,407.82, 2,111.82 and 433.84

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Solution

The fourth proportional to 1,407.82, 2,111.82 and 433.84 is: 650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.82 : 2,111.82 = 433.84 : x
  2. Step 2: Convert to fraction form
    1,407.82/2,111.82 = 433.84/x
  3. Step 3: Cross multiply
    1,407.82x = 2,111.82 × 433.84
  4. Step 4: Simplify right side
    1,407.82x = 916,191.99
  5. Step 5: Solve for x
    x = 916,191.99/1,407.82
  6. Step 6: Final answer
    x = 650.79

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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.