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Finding the Fourth Proportional to 776.30, 1,071.98 and 528.54

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Solution

The fourth proportional to 776.30, 1,071.98 and 528.54 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.30 : 1,071.98 = 528.54 : x
  2. Step 2: Convert to fraction form
    776.30/1,071.98 = 528.54/x
  3. Step 3: Cross multiply
    776.30x = 1,071.98 × 528.54
  4. Step 4: Simplify right side
    776.30x = 566,584.31
  5. Step 5: Solve for x
    x = 566,584.31/776.30
  6. Step 6: Final answer
    x = 729.85

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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.