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Finding the Fourth Proportional to 1,404.51, 2,106.65 and 480.09

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Solution

The fourth proportional to 1,404.51, 2,106.65 and 480.09 is: 720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.51 : 2,106.65 = 480.09 : x
  2. Step 2: Convert to fraction form
    1,404.51/2,106.65 = 480.09/x
  3. Step 3: Cross multiply
    1,404.51x = 2,106.65 × 480.09
  4. Step 4: Simplify right side
    1,404.51x = 1,011,379.20
  5. Step 5: Solve for x
    x = 1,011,379.20/1,404.51
  6. Step 6: Final answer
    x = 720.09

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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.