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Finding the Fourth Proportional to 887.57, 1,224.34 and 738.93

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Solution

The fourth proportional to 887.57, 1,224.34 and 738.93 is: 1,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.57 : 1,224.34 = 738.93 : x
  2. Step 2: Convert to fraction form
    887.57/1,224.34 = 738.93/x
  3. Step 3: Cross multiply
    887.57x = 1,224.34 × 738.93
  4. Step 4: Simplify right side
    887.57x = 904,701.56
  5. Step 5: Solve for x
    x = 904,701.56/887.57
  6. Step 6: Final answer
    x = 1,019.30

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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.