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Finding the Fourth Proportional to 756.42, 1,043.93 and 491.04

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Solution

The fourth proportional to 756.42, 1,043.93 and 491.04 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.42 : 1,043.93 = 491.04 : x
  2. Step 2: Convert to fraction form
    756.42/1,043.93 = 491.04/x
  3. Step 3: Cross multiply
    756.42x = 1,043.93 × 491.04
  4. Step 4: Simplify right side
    756.42x = 512,608.93
  5. Step 5: Solve for x
    x = 512,608.93/756.42
  6. Step 6: Final answer
    x = 677.68

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