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Finding the Fourth Proportional to 1,385.31, 1,911.68 and 764.31

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Solution

The fourth proportional to 1,385.31, 1,911.68 and 764.31 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.31 : 1,911.68 = 764.31 : x
  2. Step 2: Convert to fraction form
    1,385.31/1,911.68 = 764.31/x
  3. Step 3: Cross multiply
    1,385.31x = 1,911.68 × 764.31
  4. Step 4: Simplify right side
    1,385.31x = 1,461,112.32
  5. Step 5: Solve for x
    x = 1,461,112.32/1,385.31
  6. Step 6: Final answer
    x = 1,054.72

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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.