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Finding the Fourth Proportional to 1,404.68, 2,107.47 and 674.31

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Solution

The fourth proportional to 1,404.68, 2,107.47 and 674.31 is: 1,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.68 : 2,107.47 = 674.31 : x
  2. Step 2: Convert to fraction form
    1,404.68/2,107.47 = 674.31/x
  3. Step 3: Cross multiply
    1,404.68x = 2,107.47 × 674.31
  4. Step 4: Simplify right side
    1,404.68x = 1,421,088.10
  5. Step 5: Solve for x
    x = 1,421,088.10/1,404.68
  6. Step 6: Final answer
    x = 1,011.68

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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.