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Finding the Fourth Proportional to 753.88, 1,040.14 and 459.15

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Solution

The fourth proportional to 753.88, 1,040.14 and 459.15 is: 633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.88 : 1,040.14 = 459.15 : x
  2. Step 2: Convert to fraction form
    753.88/1,040.14 = 459.15/x
  3. Step 3: Cross multiply
    753.88x = 1,040.14 × 459.15
  4. Step 4: Simplify right side
    753.88x = 477,580.28
  5. Step 5: Solve for x
    x = 477,580.28/753.88
  6. Step 6: Final answer
    x = 633.50

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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.