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Finding the Fourth Proportional to 887.37, 1,224.63 and 593.13

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Solution

The fourth proportional to 887.37, 1,224.63 and 593.13 is: 818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.37 : 1,224.63 = 593.13 : x
  2. Step 2: Convert to fraction form
    887.37/1,224.63 = 593.13/x
  3. Step 3: Cross multiply
    887.37x = 1,224.63 × 593.13
  4. Step 4: Simplify right side
    887.37x = 726,364.79
  5. Step 5: Solve for x
    x = 726,364.79/887.37
  6. Step 6: Final answer
    x = 818.56

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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.