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Finding the Fourth Proportional to 1,364.92, 1,883.52 and 775.48

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Solution

The fourth proportional to 1,364.92, 1,883.52 and 775.48 is: 1,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.92 : 1,883.52 = 775.48 : x
  2. Step 2: Convert to fraction form
    1,364.92/1,883.52 = 775.48/x
  3. Step 3: Cross multiply
    1,364.92x = 1,883.52 × 775.48
  4. Step 4: Simplify right side
    1,364.92x = 1,460,632.09
  5. Step 5: Solve for x
    x = 1,460,632.09/1,364.92
  6. Step 6: Final answer
    x = 1,070.12

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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.