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Finding the Fourth Proportional to 993, 1,369.56 and 713.16

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Solution

The fourth proportional to 993, 1,369.56 and 713.16 is: 983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    993 : 1,369.56 = 713.16 : x
  2. Step 2: Convert to fraction form
    993/1,369.56 = 713.16/x
  3. Step 3: Cross multiply
    993x = 1,369.56 × 713.16
  4. Step 4: Simplify right side
    993x = 976,715.41
  5. Step 5: Solve for x
    x = 976,715.41/993
  6. Step 6: Final answer
    x = 983.60

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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.