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Finding the Fourth Proportional to 766.40, 1,051.95 and 725.39

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Solution

The fourth proportional to 766.40, 1,051.95 and 725.39 is: 995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.40 : 1,051.95 = 725.39 : x
  2. Step 2: Convert to fraction form
    766.40/1,051.95 = 725.39/x
  3. Step 3: Cross multiply
    766.40x = 1,051.95 × 725.39
  4. Step 4: Simplify right side
    766.40x = 763,075.42
  5. Step 5: Solve for x
    x = 763,075.42/766.40
  6. Step 6: Final answer
    x = 995.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.