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Finding the Fourth Proportional to 887.60, 1,224.96 and 538.24

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Solution

The fourth proportional to 887.60, 1,224.96 and 538.24 is: 742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.60 : 1,224.96 = 538.24 : x
  2. Step 2: Convert to fraction form
    887.60/1,224.96 = 538.24/x
  3. Step 3: Cross multiply
    887.60x = 1,224.96 × 538.24
  4. Step 4: Simplify right side
    887.60x = 659,322.47
  5. Step 5: Solve for x
    x = 659,322.47/887.60
  6. Step 6: Final answer
    x = 742.81

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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.