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Finding the Fourth Proportional to 1,428.65, 1,971.29 and 839.31

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Solution

The fourth proportional to 1,428.65, 1,971.29 and 839.31 is: 1,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.65 : 1,971.29 = 839.31 : x
  2. Step 2: Convert to fraction form
    1,428.65/1,971.29 = 839.31/x
  3. Step 3: Cross multiply
    1,428.65x = 1,971.29 × 839.31
  4. Step 4: Simplify right side
    1,428.65x = 1,654,525.51
  5. Step 5: Solve for x
    x = 1,654,525.51/1,428.65
  6. Step 6: Final answer
    x = 1,158.10

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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.