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Finding the Fourth Proportional to 1,658.91, 2,488.37 and 683.94

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Solution

The fourth proportional to 1,658.91, 2,488.37 and 683.94 is: 1,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.91 : 2,488.37 = 683.94 : x
  2. Step 2: Convert to fraction form
    1,658.91/2,488.37 = 683.94/x
  3. Step 3: Cross multiply
    1,658.91x = 2,488.37 × 683.94
  4. Step 4: Simplify right side
    1,658.91x = 1,701,892.36
  5. Step 5: Solve for x
    x = 1,701,892.36/1,658.91
  6. Step 6: Final answer
    x = 1,025.91

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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.