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Finding the Fourth Proportional to 1,428.59, 1,971.47 and 839.14

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Solution

The fourth proportional to 1,428.59, 1,971.47 and 839.14 is: 1,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.59 : 1,971.47 = 839.14 : x
  2. Step 2: Convert to fraction form
    1,428.59/1,971.47 = 839.14/x
  3. Step 3: Cross multiply
    1,428.59x = 1,971.47 × 839.14
  4. Step 4: Simplify right side
    1,428.59x = 1,654,339.34
  5. Step 5: Solve for x
    x = 1,654,339.34/1,428.59
  6. Step 6: Final answer
    x = 1,158.02

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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.