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Finding the Fourth Proportional to 1,428.46, 1,971.42 and 904.60

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Solution

The fourth proportional to 1,428.46, 1,971.42 and 904.60 is: 1,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.46 : 1,971.42 = 904.60 : x
  2. Step 2: Convert to fraction form
    1,428.46/1,971.42 = 904.60/x
  3. Step 3: Cross multiply
    1,428.46x = 1,971.42 × 904.60
  4. Step 4: Simplify right side
    1,428.46x = 1,783,346.53
  5. Step 5: Solve for x
    x = 1,783,346.53/1,428.46
  6. Step 6: Final answer
    x = 1,248.44

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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.