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Finding the Fourth Proportional to 1,404.98, 2,107.56 and 711.16

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Solution

The fourth proportional to 1,404.98, 2,107.56 and 711.16 is: 1,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.98 : 2,107.56 = 711.16 : x
  2. Step 2: Convert to fraction form
    1,404.98/2,107.56 = 711.16/x
  3. Step 3: Cross multiply
    1,404.98x = 2,107.56 × 711.16
  4. Step 4: Simplify right side
    1,404.98x = 1,498,812.37
  5. Step 5: Solve for x
    x = 1,498,812.37/1,404.98
  6. Step 6: Final answer
    x = 1,066.79

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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.