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Finding the Fourth Proportional to 1,765.99, 2,649.01 and 467.45

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Solution

The fourth proportional to 1,765.99, 2,649.01 and 467.45 is: 701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.99 : 2,649.01 = 467.45 : x
  2. Step 2: Convert to fraction form
    1,765.99/2,649.01 = 467.45/x
  3. Step 3: Cross multiply
    1,765.99x = 2,649.01 × 467.45
  4. Step 4: Simplify right side
    1,765.99x = 1,238,279.72
  5. Step 5: Solve for x
    x = 1,238,279.72/1,765.99
  6. Step 6: Final answer
    x = 701.18

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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.