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Finding the Fourth Proportional to 1,405.01, 2,107.41 and 431.07

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Solution

The fourth proportional to 1,405.01, 2,107.41 and 431.07 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.01 : 2,107.41 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,405.01/2,107.41 = 431.07/x
  3. Step 3: Cross multiply
    1,405.01x = 2,107.41 × 431.07
  4. Step 4: Simplify right side
    1,405.01x = 908,441.23
  5. Step 5: Solve for x
    x = 908,441.23/1,405.01
  6. Step 6: Final answer
    x = 646.58

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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.