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Finding the Fourth Proportional to 1,076.32, 1,613.31 and 459.28

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Solution

The fourth proportional to 1,076.32, 1,613.31 and 459.28 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.32 : 1,613.31 = 459.28 : x
  2. Step 2: Convert to fraction form
    1,076.32/1,613.31 = 459.28/x
  3. Step 3: Cross multiply
    1,076.32x = 1,613.31 × 459.28
  4. Step 4: Simplify right side
    1,076.32x = 740,961.02
  5. Step 5: Solve for x
    x = 740,961.02/1,076.32
  6. Step 6: Final answer
    x = 688.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.