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Finding the Fourth Proportional to 1,750.02, 2,625.06 and 451.46

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Solution

The fourth proportional to 1,750.02, 2,625.06 and 451.46 is: 677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.02 : 2,625.06 = 451.46 : x
  2. Step 2: Convert to fraction form
    1,750.02/2,625.06 = 451.46/x
  3. Step 3: Cross multiply
    1,750.02x = 2,625.06 × 451.46
  4. Step 4: Simplify right side
    1,750.02x = 1,185,109.59
  5. Step 5: Solve for x
    x = 1,185,109.59/1,750.02
  6. Step 6: Final answer
    x = 677.20

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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.