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Finding the Fourth Proportional to 1,194.32, 1,648.92 and 821.18

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Solution

The fourth proportional to 1,194.32, 1,648.92 and 821.18 is: 1,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.32 : 1,648.92 = 821.18 : x
  2. Step 2: Convert to fraction form
    1,194.32/1,648.92 = 821.18/x
  3. Step 3: Cross multiply
    1,194.32x = 1,648.92 × 821.18
  4. Step 4: Simplify right side
    1,194.32x = 1,354,060.13
  5. Step 5: Solve for x
    x = 1,354,060.13/1,194.32
  6. Step 6: Final answer
    x = 1,133.75

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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.