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Finding the Fourth Proportional to 713.56, 983.82 and 582.28

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Solution

The fourth proportional to 713.56, 983.82 and 582.28 is: 802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 983.82 = 582.28 : x
  2. Step 2: Convert to fraction form
    713.56/983.82 = 582.28/x
  3. Step 3: Cross multiply
    713.56x = 983.82 × 582.28
  4. Step 4: Simplify right side
    713.56x = 572,858.71
  5. Step 5: Solve for x
    x = 572,858.71/713.56
  6. Step 6: Final answer
    x = 802.82

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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.