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Finding the Fourth Proportional to 978.52, 1,349.46 and 756.76

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Solution

The fourth proportional to 978.52, 1,349.46 and 756.76 is: 1,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.52 : 1,349.46 = 756.76 : x
  2. Step 2: Convert to fraction form
    978.52/1,349.46 = 756.76/x
  3. Step 3: Cross multiply
    978.52x = 1,349.46 × 756.76
  4. Step 4: Simplify right side
    978.52x = 1,021,217.35
  5. Step 5: Solve for x
    x = 1,021,217.35/978.52
  6. Step 6: Final answer
    x = 1,043.63

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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.