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Finding the Fourth Proportional to 756.47, 1,043.85 and 461.81

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Solution

The fourth proportional to 756.47, 1,043.85 and 461.81 is: 637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.47 : 1,043.85 = 461.81 : x
  2. Step 2: Convert to fraction form
    756.47/1,043.85 = 461.81/x
  3. Step 3: Cross multiply
    756.47x = 1,043.85 × 461.81
  4. Step 4: Simplify right side
    756.47x = 482,060.37
  5. Step 5: Solve for x
    x = 482,060.37/756.47
  6. Step 6: Final answer
    x = 637.25

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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.