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Finding the Fourth Proportional to 1,364.76, 1,883.52 and 775.44

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Solution

The fourth proportional to 1,364.76, 1,883.52 and 775.44 is: 1,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 1,883.52 = 775.44 : x
  2. Step 2: Convert to fraction form
    1,364.76/1,883.52 = 775.44/x
  3. Step 3: Cross multiply
    1,364.76x = 1,883.52 × 775.44
  4. Step 4: Simplify right side
    1,364.76x = 1,460,556.75
  5. Step 5: Solve for x
    x = 1,460,556.75/1,364.76
  6. Step 6: Final answer
    x = 1,070.19

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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.