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Finding the Fourth Proportional to 887.07, 1,224.09 and 494.09

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Solution

The fourth proportional to 887.07, 1,224.09 and 494.09 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.07 : 1,224.09 = 494.09 : x
  2. Step 2: Convert to fraction form
    887.07/1,224.09 = 494.09/x
  3. Step 3: Cross multiply
    887.07x = 1,224.09 × 494.09
  4. Step 4: Simplify right side
    887.07x = 604,804.51
  5. Step 5: Solve for x
    x = 604,804.51/887.07
  6. Step 6: Final answer
    x = 681.80

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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.