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Finding the Fourth Proportional to 753.96, 1,040.70 and 459.42

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Solution

The fourth proportional to 753.96, 1,040.70 and 459.42 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.96 : 1,040.70 = 459.42 : x
  2. Step 2: Convert to fraction form
    753.96/1,040.70 = 459.42/x
  3. Step 3: Cross multiply
    753.96x = 1,040.70 × 459.42
  4. Step 4: Simplify right side
    753.96x = 478,118.39
  5. Step 5: Solve for x
    x = 478,118.39/753.96
  6. Step 6: Final answer
    x = 634.14

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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.