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Finding the Fourth Proportional to 887, 1,224.02 and 494.02

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Solution

The fourth proportional to 887, 1,224.02 and 494.02 is: 681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    887 : 1,224.02 = 494.02 : x
  2. Step 2: Convert to fraction form
    887/1,224.02 = 494.02/x
  3. Step 3: Cross multiply
    887x = 1,224.02 × 494.02
  4. Step 4: Simplify right side
    887x = 604,690.36
  5. Step 5: Solve for x
    x = 604,690.36/887
  6. Step 6: Final answer
    x = 681.73

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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.