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Finding the Fourth Proportional to 978.67, 1,342.52 and 925.71

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Solution

The fourth proportional to 978.67, 1,342.52 and 925.71 is: 1,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.67 : 1,342.52 = 925.71 : x
  2. Step 2: Convert to fraction form
    978.67/1,342.52 = 925.71/x
  3. Step 3: Cross multiply
    978.67x = 1,342.52 × 925.71
  4. Step 4: Simplify right side
    978.67x = 1,242,786.50
  5. Step 5: Solve for x
    x = 1,242,786.50/978.67
  6. Step 6: Final answer
    x = 1,269.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.