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Finding the Fourth Proportional to 978.26, 1,464.75 and 586.41

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Solution

The fourth proportional to 978.26, 1,464.75 and 586.41 is: 878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.26 : 1,464.75 = 586.41 : x
  2. Step 2: Convert to fraction form
    978.26/1,464.75 = 586.41/x
  3. Step 3: Cross multiply
    978.26x = 1,464.75 × 586.41
  4. Step 4: Simplify right side
    978.26x = 858,944.05
  5. Step 5: Solve for x
    x = 858,944.05/978.26
  6. Step 6: Final answer
    x = 878.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.