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Finding the Fourth Proportional to 1,321.64, 1,823.88 and 732.16

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Solution

The fourth proportional to 1,321.64, 1,823.88 and 732.16 is: 1,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.64 : 1,823.88 = 732.16 : x
  2. Step 2: Convert to fraction form
    1,321.64/1,823.88 = 732.16/x
  3. Step 3: Cross multiply
    1,321.64x = 1,823.88 × 732.16
  4. Step 4: Simplify right side
    1,321.64x = 1,335,372.89
  5. Step 5: Solve for x
    x = 1,335,372.89/1,321.64
  6. Step 6: Final answer
    x = 1,010.39

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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.