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Finding the Fourth Proportional to 713.04, 983.80 and 451.16

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Solution

The fourth proportional to 713.04, 983.80 and 451.16 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.04 : 983.80 = 451.16 : x
  2. Step 2: Convert to fraction form
    713.04/983.80 = 451.16/x
  3. Step 3: Cross multiply
    713.04x = 983.80 × 451.16
  4. Step 4: Simplify right side
    713.04x = 443,851.21
  5. Step 5: Solve for x
    x = 443,851.21/713.04
  6. Step 6: Final answer
    x = 622.48

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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.