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Finding the Fourth Proportional to 1,321.16, 1,823.28 and 797.24

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Solution

The fourth proportional to 1,321.16, 1,823.28 and 797.24 is: 1,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.16 : 1,823.28 = 797.24 : x
  2. Step 2: Convert to fraction form
    1,321.16/1,823.28 = 797.24/x
  3. Step 3: Cross multiply
    1,321.16x = 1,823.28 × 797.24
  4. Step 4: Simplify right side
    1,321.16x = 1,453,591.75
  5. Step 5: Solve for x
    x = 1,453,591.75/1,321.16
  6. Step 6: Final answer
    x = 1,100.24

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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.