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Finding the Fourth Proportional to 978.27, 1,459.98 and 938.58

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Solution

The fourth proportional to 978.27, 1,459.98 and 938.58 is: 1,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.27 : 1,459.98 = 938.58 : x
  2. Step 2: Convert to fraction form
    978.27/1,459.98 = 938.58/x
  3. Step 3: Cross multiply
    978.27x = 1,459.98 × 938.58
  4. Step 4: Simplify right side
    978.27x = 1,370,308.03
  5. Step 5: Solve for x
    x = 1,370,308.03/978.27
  6. Step 6: Final answer
    x = 1,400.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.