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Finding the Fourth Proportional to 1,650.75, 2,477.10 and 611.48

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Solution

The fourth proportional to 1,650.75, 2,477.10 and 611.48 is: 917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.75 : 2,477.10 = 611.48 : x
  2. Step 2: Convert to fraction form
    1,650.75/2,477.10 = 611.48/x
  3. Step 3: Cross multiply
    1,650.75x = 2,477.10 × 611.48
  4. Step 4: Simplify right side
    1,650.75x = 1,514,697.11
  5. Step 5: Solve for x
    x = 1,514,697.11/1,650.75
  6. Step 6: Final answer
    x = 917.58

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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.