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Finding the Fourth Proportional to 1,115.29, 1,537.51 and 983.16

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Solution

The fourth proportional to 1,115.29, 1,537.51 and 983.16 is: 1,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.29 : 1,537.51 = 983.16 : x
  2. Step 2: Convert to fraction form
    1,115.29/1,537.51 = 983.16/x
  3. Step 3: Cross multiply
    1,115.29x = 1,537.51 × 983.16
  4. Step 4: Simplify right side
    1,115.29x = 1,511,619.28
  5. Step 5: Solve for x
    x = 1,511,619.28/1,115.29
  6. Step 6: Final answer
    x = 1,355.35

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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.