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Finding the Fourth Proportional to 815.84, 1,125.84 and 461.75

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Solution

The fourth proportional to 815.84, 1,125.84 and 461.75 is: 637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,125.84 = 461.75 : x
  2. Step 2: Convert to fraction form
    815.84/1,125.84 = 461.75/x
  3. Step 3: Cross multiply
    815.84x = 1,125.84 × 461.75
  4. Step 4: Simplify right side
    815.84x = 519,852.72
  5. Step 5: Solve for x
    x = 519,852.72/815.84
  6. Step 6: Final answer
    x = 637.20

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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.