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Finding the Fourth Proportional to 766.04, 1,056.28 and 725

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Solution

The fourth proportional to 766.04, 1,056.28 and 725 is: 999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.04 : 1,056.28 = 725 : x
  2. Step 2: Convert to fraction form
    766.04/1,056.28 = 725/x
  3. Step 3: Cross multiply
    766.04x = 1,056.28 × 725
  4. Step 4: Simplify right side
    766.04x = 765,803
  5. Step 5: Solve for x
    x = 765,803/766.04
  6. Step 6: Final answer
    x = 999.69

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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.