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Finding the Fourth Proportional to 1,406.97, 2,110.46 and 432.84

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Solution

The fourth proportional to 1,406.97, 2,110.46 and 432.84 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.97 : 2,110.46 = 432.84 : x
  2. Step 2: Convert to fraction form
    1,406.97/2,110.46 = 432.84/x
  3. Step 3: Cross multiply
    1,406.97x = 2,110.46 × 432.84
  4. Step 4: Simplify right side
    1,406.97x = 913,497.26
  5. Step 5: Solve for x
    x = 913,497.26/1,406.97
  6. Step 6: Final answer
    x = 649.27

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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.