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Finding the Fourth Proportional to 1,316.43, 1,974.92 and 392.00

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Solution

The fourth proportional to 1,316.43, 1,974.92 and 392.00 is: 588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.43 : 1,974.92 = 392.00 : x
  2. Step 2: Convert to fraction form
    1,316.43/1,974.92 = 392.00/x
  3. Step 3: Cross multiply
    1,316.43x = 1,974.92 × 392.00
  4. Step 4: Simplify right side
    1,316.43x = 774,156.81
  5. Step 5: Solve for x
    x = 774,156.81/1,316.43
  6. Step 6: Final answer
    x = 588.07

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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.