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Finding the Fourth Proportional to 1,607.60, 2,411.72 and 683.15

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Solution

The fourth proportional to 1,607.60, 2,411.72 and 683.15 is: 1,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.60 : 2,411.72 = 683.15 : x
  2. Step 2: Convert to fraction form
    1,607.60/2,411.72 = 683.15/x
  3. Step 3: Cross multiply
    1,607.60x = 2,411.72 × 683.15
  4. Step 4: Simplify right side
    1,607.60x = 1,647,551.04
  5. Step 5: Solve for x
    x = 1,647,551.04/1,607.60
  6. Step 6: Final answer
    x = 1,024.85

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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.