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Finding the Fourth Proportional to 929.83, 1,395.96 and 786.46

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Solution

The fourth proportional to 929.83, 1,395.96 and 786.46 is: 1,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.83 : 1,395.96 = 786.46 : x
  2. Step 2: Convert to fraction form
    929.83/1,395.96 = 786.46/x
  3. Step 3: Cross multiply
    929.83x = 1,395.96 × 786.46
  4. Step 4: Simplify right side
    929.83x = 1,097,866.70
  5. Step 5: Solve for x
    x = 1,097,866.70/929.83
  6. Step 6: Final answer
    x = 1,180.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.