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Finding the Fourth Proportional to 752.94, 1,039.77 and 491.58

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Solution

The fourth proportional to 752.94, 1,039.77 and 491.58 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.94 : 1,039.77 = 491.58 : x
  2. Step 2: Convert to fraction form
    752.94/1,039.77 = 491.58/x
  3. Step 3: Cross multiply
    752.94x = 1,039.77 × 491.58
  4. Step 4: Simplify right side
    752.94x = 511,130.14
  5. Step 5: Solve for x
    x = 511,130.14/752.94
  6. Step 6: Final answer
    x = 678.85

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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.