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Finding the Fourth Proportional to 754.96, 1,042.06 and 460.40

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Solution

The fourth proportional to 754.96, 1,042.06 and 460.40 is: 635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.96 : 1,042.06 = 460.40 : x
  2. Step 2: Convert to fraction form
    754.96/1,042.06 = 460.40/x
  3. Step 3: Cross multiply
    754.96x = 1,042.06 × 460.40
  4. Step 4: Simplify right side
    754.96x = 479,764.42
  5. Step 5: Solve for x
    x = 479,764.42/754.96
  6. Step 6: Final answer
    x = 635.48

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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.