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Finding the Fourth Proportional to 1,404.29, 2,106.11 and 416.90

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Solution

The fourth proportional to 1,404.29, 2,106.11 and 416.90 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.29 : 2,106.11 = 416.90 : x
  2. Step 2: Convert to fraction form
    1,404.29/2,106.11 = 416.90/x
  3. Step 3: Cross multiply
    1,404.29x = 2,106.11 × 416.90
  4. Step 4: Simplify right side
    1,404.29x = 878,037.26
  5. Step 5: Solve for x
    x = 878,037.26/1,404.29
  6. Step 6: Final answer
    x = 625.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.