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Finding the Fourth Proportional to 1,405.06, 2,107.83 and 430.94

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Solution

The fourth proportional to 1,405.06, 2,107.83 and 430.94 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.06 : 2,107.83 = 430.94 : x
  2. Step 2: Convert to fraction form
    1,405.06/2,107.83 = 430.94/x
  3. Step 3: Cross multiply
    1,405.06x = 2,107.83 × 430.94
  4. Step 4: Simplify right side
    1,405.06x = 908,348.26
  5. Step 5: Solve for x
    x = 908,348.26/1,405.06
  6. Step 6: Final answer
    x = 646.48

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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.