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Finding the Fourth Proportional to 713.51, 983.10 and 480.23

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Solution

The fourth proportional to 713.51, 983.10 and 480.23 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 983.10 = 480.23 : x
  2. Step 2: Convert to fraction form
    713.51/983.10 = 480.23/x
  3. Step 3: Cross multiply
    713.51x = 983.10 × 480.23
  4. Step 4: Simplify right side
    713.51x = 472,109.20
  5. Step 5: Solve for x
    x = 472,109.20/713.51
  6. Step 6: Final answer
    x = 661.68

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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.