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Finding the Fourth Proportional to 1,650.35, 2,475.90 and 496.07

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Solution

The fourth proportional to 1,650.35, 2,475.90 and 496.07 is: 744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.35 : 2,475.90 = 496.07 : x
  2. Step 2: Convert to fraction form
    1,650.35/2,475.90 = 496.07/x
  3. Step 3: Cross multiply
    1,650.35x = 2,475.90 × 496.07
  4. Step 4: Simplify right side
    1,650.35x = 1,228,219.71
  5. Step 5: Solve for x
    x = 1,228,219.71/1,650.35
  6. Step 6: Final answer
    x = 744.22

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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.