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Finding the Fourth Proportional to 1,195.71, 1,792.94 and 373.76

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Solution

The fourth proportional to 1,195.71, 1,792.94 and 373.76 is: 560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,792.94 = 373.76 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,792.94 = 373.76/x
  3. Step 3: Cross multiply
    1,195.71x = 1,792.94 × 373.76
  4. Step 4: Simplify right side
    1,195.71x = 670,135.23
  5. Step 5: Solve for x
    x = 670,135.23/1,195.71
  6. Step 6: Final answer
    x = 560.45

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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.