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Finding the Fourth Proportional to 1,650.34, 2,475.73 and 554.48

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Solution

The fourth proportional to 1,650.34, 2,475.73 and 554.48 is: 831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.34 : 2,475.73 = 554.48 : x
  2. Step 2: Convert to fraction form
    1,650.34/2,475.73 = 554.48/x
  3. Step 3: Cross multiply
    1,650.34x = 2,475.73 × 554.48
  4. Step 4: Simplify right side
    1,650.34x = 1,372,740.37
  5. Step 5: Solve for x
    x = 1,372,740.37/1,650.34
  6. Step 6: Final answer
    x = 831.79

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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.