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Finding the Fourth Proportional to 1,651.48, 2,477.48 and 677.32

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Solution

The fourth proportional to 1,651.48, 2,477.48 and 677.32 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.48 : 2,477.48 = 677.32 : x
  2. Step 2: Convert to fraction form
    1,651.48/2,477.48 = 677.32/x
  3. Step 3: Cross multiply
    1,651.48x = 2,477.48 × 677.32
  4. Step 4: Simplify right side
    1,651.48x = 1,678,046.75
  5. Step 5: Solve for x
    x = 1,678,046.75/1,651.48
  6. Step 6: Final answer
    x = 1,016.09

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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.