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Finding the Fourth Proportional to 1,406.80, 2,110.11 and 433

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Solution

The fourth proportional to 1,406.80, 2,110.11 and 433 is: 649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.80 : 2,110.11 = 433 : x
  2. Step 2: Convert to fraction form
    1,406.80/2,110.11 = 433/x
  3. Step 3: Cross multiply
    1,406.80x = 2,110.11 × 433
  4. Step 4: Simplify right side
    1,406.80x = 913,677.63
  5. Step 5: Solve for x
    x = 913,677.63/1,406.80
  6. Step 6: Final answer
    x = 649.47

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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.