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Finding the Fourth Proportional to 1,194.81, 1,648.98 and 775.62

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Solution

The fourth proportional to 1,194.81, 1,648.98 and 775.62 is: 1,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.81 : 1,648.98 = 775.62 : x
  2. Step 2: Convert to fraction form
    1,194.81/1,648.98 = 775.62/x
  3. Step 3: Cross multiply
    1,194.81x = 1,648.98 × 775.62
  4. Step 4: Simplify right side
    1,194.81x = 1,278,981.87
  5. Step 5: Solve for x
    x = 1,278,981.87/1,194.81
  6. Step 6: Final answer
    x = 1,070.45

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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.