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Finding the Fourth Proportional to 983.67, 1,356.90 and 585.21

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Solution

The fourth proportional to 983.67, 1,356.90 and 585.21 is: 807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.67 : 1,356.90 = 585.21 : x
  2. Step 2: Convert to fraction form
    983.67/1,356.90 = 585.21/x
  3. Step 3: Cross multiply
    983.67x = 1,356.90 × 585.21
  4. Step 4: Simplify right side
    983.67x = 794,071.45
  5. Step 5: Solve for x
    x = 794,071.45/983.67
  6. Step 6: Final answer
    x = 807.25

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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.