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Finding the Fourth Proportional to 887.68, 1,224.72 and 538.24

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Solution

The fourth proportional to 887.68, 1,224.72 and 538.24 is: 742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.68 : 1,224.72 = 538.24 : x
  2. Step 2: Convert to fraction form
    887.68/1,224.72 = 538.24/x
  3. Step 3: Cross multiply
    887.68x = 1,224.72 × 538.24
  4. Step 4: Simplify right side
    887.68x = 659,193.29
  5. Step 5: Solve for x
    x = 659,193.29/887.68
  6. Step 6: Final answer
    x = 742.60

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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.