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Finding the Fourth Proportional to 1,448.22, 1,998.12 and 924.24

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Solution

The fourth proportional to 1,448.22, 1,998.12 and 924.24 is: 1,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.22 : 1,998.12 = 924.24 : x
  2. Step 2: Convert to fraction form
    1,448.22/1,998.12 = 924.24/x
  3. Step 3: Cross multiply
    1,448.22x = 1,998.12 × 924.24
  4. Step 4: Simplify right side
    1,448.22x = 1,846,742.43
  5. Step 5: Solve for x
    x = 1,846,742.43/1,448.22
  6. Step 6: Final answer
    x = 1,275.18

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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.