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Finding the Fourth Proportional to 1,194.78, 1,792.55 and 373.17

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Solution

The fourth proportional to 1,194.78, 1,792.55 and 373.17 is: 559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.78 : 1,792.55 = 373.17 : x
  2. Step 2: Convert to fraction form
    1,194.78/1,792.55 = 373.17/x
  3. Step 3: Cross multiply
    1,194.78x = 1,792.55 × 373.17
  4. Step 4: Simplify right side
    1,194.78x = 668,924.02
  5. Step 5: Solve for x
    x = 668,924.02/1,194.78
  6. Step 6: Final answer
    x = 559.87

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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.