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Finding the Fourth Proportional to 978.48, 1,351.49 and 712.50

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Solution

The fourth proportional to 978.48, 1,351.49 and 712.50 is: 984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.48 : 1,351.49 = 712.50 : x
  2. Step 2: Convert to fraction form
    978.48/1,351.49 = 712.50/x
  3. Step 3: Cross multiply
    978.48x = 1,351.49 × 712.50
  4. Step 4: Simplify right side
    978.48x = 962,927.99
  5. Step 5: Solve for x
    x = 962,927.99/978.48
  6. Step 6: Final answer
    x = 984.11

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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.