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Finding the Fourth Proportional to 755.00, 1,041.44 and 493.01

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Solution

The fourth proportional to 755.00, 1,041.44 and 493.01 is: 680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.00 : 1,041.44 = 493.01 : x
  2. Step 2: Convert to fraction form
    755.00/1,041.44 = 493.01/x
  3. Step 3: Cross multiply
    755.00x = 1,041.44 × 493.01
  4. Step 4: Simplify right side
    755.00x = 513,440.47
  5. Step 5: Solve for x
    x = 513,440.47/755.00
  6. Step 6: Final answer
    x = 680.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.