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Finding the Fourth Proportional to 1,405.35, 2,107.74 and 431.22

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Solution

The fourth proportional to 1,405.35, 2,107.74 and 431.22 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.35 : 2,107.74 = 431.22 : x
  2. Step 2: Convert to fraction form
    1,405.35/2,107.74 = 431.22/x
  3. Step 3: Cross multiply
    1,405.35x = 2,107.74 × 431.22
  4. Step 4: Simplify right side
    1,405.35x = 908,899.64
  5. Step 5: Solve for x
    x = 908,899.64/1,405.35
  6. Step 6: Final answer
    x = 646.74

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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.