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Finding the Fourth Proportional to 1,194.54, 1,648.45 and 728.79

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Solution

The fourth proportional to 1,194.54, 1,648.45 and 728.79 is: 1,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.54 : 1,648.45 = 728.79 : x
  2. Step 2: Convert to fraction form
    1,194.54/1,648.45 = 728.79/x
  3. Step 3: Cross multiply
    1,194.54x = 1,648.45 × 728.79
  4. Step 4: Simplify right side
    1,194.54x = 1,201,373.88
  5. Step 5: Solve for x
    x = 1,201,373.88/1,194.54
  6. Step 6: Final answer
    x = 1,005.72

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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.