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Finding the Fourth Proportional to 1,607.58, 2,411.62 and 683.14

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Solution

The fourth proportional to 1,607.58, 2,411.62 and 683.14 is: 1,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.58 : 2,411.62 = 683.14 : x
  2. Step 2: Convert to fraction form
    1,607.58/2,411.62 = 683.14/x
  3. Step 3: Cross multiply
    1,607.58x = 2,411.62 × 683.14
  4. Step 4: Simplify right side
    1,607.58x = 1,647,474.09
  5. Step 5: Solve for x
    x = 1,647,474.09/1,607.58
  6. Step 6: Final answer
    x = 1,024.82

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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.