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Finding the Fourth Proportional to 1,321.53, 1,823.64 and 732.03

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Solution

The fourth proportional to 1,321.53, 1,823.64 and 732.03 is: 1,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.53 : 1,823.64 = 732.03 : x
  2. Step 2: Convert to fraction form
    1,321.53/1,823.64 = 732.03/x
  3. Step 3: Cross multiply
    1,321.53x = 1,823.64 × 732.03
  4. Step 4: Simplify right side
    1,321.53x = 1,334,949.61
  5. Step 5: Solve for x
    x = 1,334,949.61/1,321.53
  6. Step 6: Final answer
    x = 1,010.16

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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.