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Finding the Fourth Proportional to 713.48, 983.22 and 506.12

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Solution

The fourth proportional to 713.48, 983.22 and 506.12 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.48 : 983.22 = 506.12 : x
  2. Step 2: Convert to fraction form
    713.48/983.22 = 506.12/x
  3. Step 3: Cross multiply
    713.48x = 983.22 × 506.12
  4. Step 4: Simplify right side
    713.48x = 497,627.31
  5. Step 5: Solve for x
    x = 497,627.31/713.48
  6. Step 6: Final answer
    x = 697.46

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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.