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Finding the Fourth Proportional to 1,650.83, 2,476.47 and 596.56

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Solution

The fourth proportional to 1,650.83, 2,476.47 and 596.56 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.83 : 2,476.47 = 596.56 : x
  2. Step 2: Convert to fraction form
    1,650.83/2,476.47 = 596.56/x
  3. Step 3: Cross multiply
    1,650.83x = 2,476.47 × 596.56
  4. Step 4: Simplify right side
    1,650.83x = 1,477,356.75
  5. Step 5: Solve for x
    x = 1,477,356.75/1,650.83
  6. Step 6: Final answer
    x = 894.92

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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.