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Finding the Fourth Proportional to 1,792.93, 2,689.80 and 560.44

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Solution

The fourth proportional to 1,792.93, 2,689.80 and 560.44 is: 840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.93 : 2,689.80 = 560.44 : x
  2. Step 2: Convert to fraction form
    1,792.93/2,689.80 = 560.44/x
  3. Step 3: Cross multiply
    1,792.93x = 2,689.80 × 560.44
  4. Step 4: Simplify right side
    1,792.93x = 1,507,471.51
  5. Step 5: Solve for x
    x = 1,507,471.51/1,792.93
  6. Step 6: Final answer
    x = 840.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.