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Finding the Fourth Proportional to 1,321.55, 1,823.67 and 732.05

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Solution

The fourth proportional to 1,321.55, 1,823.67 and 732.05 is: 1,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.55 : 1,823.67 = 732.05 : x
  2. Step 2: Convert to fraction form
    1,321.55/1,823.67 = 732.05/x
  3. Step 3: Cross multiply
    1,321.55x = 1,823.67 × 732.05
  4. Step 4: Simplify right side
    1,321.55x = 1,335,017.62
  5. Step 5: Solve for x
    x = 1,335,017.62/1,321.55
  6. Step 6: Final answer
    x = 1,010.19

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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.