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Finding the Fourth Proportional to 1,405.59, 2,107.89 and 418.11

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Solution

The fourth proportional to 1,405.59, 2,107.89 and 418.11 is: 627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.59 : 2,107.89 = 418.11 : x
  2. Step 2: Convert to fraction form
    1,405.59/2,107.89 = 418.11/x
  3. Step 3: Cross multiply
    1,405.59x = 2,107.89 × 418.11
  4. Step 4: Simplify right side
    1,405.59x = 881,329.89
  5. Step 5: Solve for x
    x = 881,329.89/1,405.59
  6. Step 6: Final answer
    x = 627.02

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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.