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Finding the Fourth Proportional to 1,658.08, 2,487.39 and 562.51

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Solution

The fourth proportional to 1,658.08, 2,487.39 and 562.51 is: 843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.08 : 2,487.39 = 562.51 : x
  2. Step 2: Convert to fraction form
    1,658.08/2,487.39 = 562.51/x
  3. Step 3: Cross multiply
    1,658.08x = 2,487.39 × 562.51
  4. Step 4: Simplify right side
    1,658.08x = 1,399,181.75
  5. Step 5: Solve for x
    x = 1,399,181.75/1,658.08
  6. Step 6: Final answer
    x = 843.86

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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.