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Finding the Fourth Proportional to 887.05, 1,224.20 and 494.10

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Solution

The fourth proportional to 887.05, 1,224.20 and 494.10 is: 681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.05 : 1,224.20 = 494.10 : x
  2. Step 2: Convert to fraction form
    887.05/1,224.20 = 494.10/x
  3. Step 3: Cross multiply
    887.05x = 1,224.20 × 494.10
  4. Step 4: Simplify right side
    887.05x = 604,868.63
  5. Step 5: Solve for x
    x = 604,868.63/887.05
  6. Step 6: Final answer
    x = 681.89

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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.