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Finding the Fourth Proportional to 1,299.16, 1,792.50 and 827.32

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Solution

The fourth proportional to 1,299.16, 1,792.50 and 827.32 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,792.50 = 827.32 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,792.50 = 827.32/x
  3. Step 3: Cross multiply
    1,299.16x = 1,792.50 × 827.32
  4. Step 4: Simplify right side
    1,299.16x = 1,482,971.10
  5. Step 5: Solve for x
    x = 1,482,971.10/1,299.16
  6. Step 6: Final answer
    x = 1,141.48

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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.