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Finding the Fourth Proportional to 1,321.48, 1,822.66 and 928.60

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Solution

The fourth proportional to 1,321.48, 1,822.66 and 928.60 is: 1,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.48 : 1,822.66 = 928.60 : x
  2. Step 2: Convert to fraction form
    1,321.48/1,822.66 = 928.60/x
  3. Step 3: Cross multiply
    1,321.48x = 1,822.66 × 928.60
  4. Step 4: Simplify right side
    1,321.48x = 1,692,522.08
  5. Step 5: Solve for x
    x = 1,692,522.08/1,321.48
  6. Step 6: Final answer
    x = 1,280.78

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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.