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Finding the Fourth Proportional to 978.84, 1,351.98 and 849.47

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Solution

The fourth proportional to 978.84, 1,351.98 and 849.47 is: 1,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.84 : 1,351.98 = 849.47 : x
  2. Step 2: Convert to fraction form
    978.84/1,351.98 = 849.47/x
  3. Step 3: Cross multiply
    978.84x = 1,351.98 × 849.47
  4. Step 4: Simplify right side
    978.84x = 1,148,459.69
  5. Step 5: Solve for x
    x = 1,148,459.69/978.84
  6. Step 6: Final answer
    x = 1,173.29

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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.