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Finding the Fourth Proportional to 978.23, 1,345.32 and 853.97

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Solution

The fourth proportional to 978.23, 1,345.32 and 853.97 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.23 : 1,345.32 = 853.97 : x
  2. Step 2: Convert to fraction form
    978.23/1,345.32 = 853.97/x
  3. Step 3: Cross multiply
    978.23x = 1,345.32 × 853.97
  4. Step 4: Simplify right side
    978.23x = 1,148,856.19
  5. Step 5: Solve for x
    x = 1,148,856.19/978.23
  6. Step 6: Final answer
    x = 1,174.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.