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Finding the Fourth Proportional to 1,765.54, 2,648.37 and 467.02

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Solution

The fourth proportional to 1,765.54, 2,648.37 and 467.02 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.54 : 2,648.37 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,765.54/2,648.37 = 467.02/x
  3. Step 3: Cross multiply
    1,765.54x = 2,648.37 × 467.02
  4. Step 4: Simplify right side
    1,765.54x = 1,236,826.18
  5. Step 5: Solve for x
    x = 1,236,826.18/1,765.54
  6. Step 6: Final answer
    x = 700.54

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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.