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Finding the Fourth Proportional to 1,684.24, 2,525.88 and 658

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Solution

The fourth proportional to 1,684.24, 2,525.88 and 658 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.24 : 2,525.88 = 658 : x
  2. Step 2: Convert to fraction form
    1,684.24/2,525.88 = 658/x
  3. Step 3: Cross multiply
    1,684.24x = 2,525.88 × 658
  4. Step 4: Simplify right side
    1,684.24x = 1,662,029.04
  5. Step 5: Solve for x
    x = 1,662,029.04/1,684.24
  6. Step 6: Final answer
    x = 986.81

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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.