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Finding the Fourth Proportional to 815.93, 1,125.84 and 461.81

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Solution

The fourth proportional to 815.93, 1,125.84 and 461.81 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.93 : 1,125.84 = 461.81 : x
  2. Step 2: Convert to fraction form
    815.93/1,125.84 = 461.81/x
  3. Step 3: Cross multiply
    815.93x = 1,125.84 × 461.81
  4. Step 4: Simplify right side
    815.93x = 519,918.54
  5. Step 5: Solve for x
    x = 519,918.54/815.93
  6. Step 6: Final answer
    x = 637.21

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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.