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Finding the Fourth Proportional to 1,321.77, 1,823.97 and 732.30

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Solution

The fourth proportional to 1,321.77, 1,823.97 and 732.30 is: 1,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.77 : 1,823.97 = 732.30 : x
  2. Step 2: Convert to fraction form
    1,321.77/1,823.97 = 732.30/x
  3. Step 3: Cross multiply
    1,321.77x = 1,823.97 × 732.30
  4. Step 4: Simplify right side
    1,321.77x = 1,335,693.23
  5. Step 5: Solve for x
    x = 1,335,693.23/1,321.77
  6. Step 6: Final answer
    x = 1,010.53

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1.5x scale

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.