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Finding the Fourth Proportional to 1,128.22, 1,553.65 and 962.37

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Solution

The fourth proportional to 1,128.22, 1,553.65 and 962.37 is: 1,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.22 : 1,553.65 = 962.37 : x
  2. Step 2: Convert to fraction form
    1,128.22/1,553.65 = 962.37/x
  3. Step 3: Cross multiply
    1,128.22x = 1,553.65 × 962.37
  4. Step 4: Simplify right side
    1,128.22x = 1,495,183.74
  5. Step 5: Solve for x
    x = 1,495,183.74/1,128.22
  6. Step 6: Final answer
    x = 1,325.26

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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.