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Finding the Fourth Proportional to 754.56, 1,042.32 and 590.84

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Solution

The fourth proportional to 754.56, 1,042.32 and 590.84 is: 816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,042.32 = 590.84 : x
  2. Step 2: Convert to fraction form
    754.56/1,042.32 = 590.84/x
  3. Step 3: Cross multiply
    754.56x = 1,042.32 × 590.84
  4. Step 4: Simplify right side
    754.56x = 615,844.35
  5. Step 5: Solve for x
    x = 615,844.35/754.56
  6. Step 6: Final answer
    x = 816.16

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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.