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Finding the Fourth Proportional to 713.48, 983.75 and 630.45

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Solution

The fourth proportional to 713.48, 983.75 and 630.45 is: 869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.48 : 983.75 = 630.45 : x
  2. Step 2: Convert to fraction form
    713.48/983.75 = 630.45/x
  3. Step 3: Cross multiply
    713.48x = 983.75 × 630.45
  4. Step 4: Simplify right side
    713.48x = 620,202.04
  5. Step 5: Solve for x
    x = 620,202.04/713.48
  6. Step 6: Final answer
    x = 869.27

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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.