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Finding the Fourth Proportional to 1,405.71, 2,108.97 and 431.95

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Solution

The fourth proportional to 1,405.71, 2,108.97 and 431.95 is: 648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.71 : 2,108.97 = 431.95 : x
  2. Step 2: Convert to fraction form
    1,405.71/2,108.97 = 431.95/x
  3. Step 3: Cross multiply
    1,405.71x = 2,108.97 × 431.95
  4. Step 4: Simplify right side
    1,405.71x = 910,969.59
  5. Step 5: Solve for x
    x = 910,969.59/1,405.71
  6. Step 6: Final answer
    x = 648.05

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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.