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Finding the Fourth Proportional to 753.91, 1,040.19 and 455.25

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Solution

The fourth proportional to 753.91, 1,040.19 and 455.25 is: 628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.91 : 1,040.19 = 455.25 : x
  2. Step 2: Convert to fraction form
    753.91/1,040.19 = 455.25/x
  3. Step 3: Cross multiply
    753.91x = 1,040.19 × 455.25
  4. Step 4: Simplify right side
    753.91x = 473,542.48
  5. Step 5: Solve for x
    x = 473,542.48/753.91
  6. Step 6: Final answer
    x = 628.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.