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Finding the Fourth Proportional to 974.22, 1,461.18 and 582.96

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Solution

The fourth proportional to 974.22, 1,461.18 and 582.96 is: 874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.22 : 1,461.18 = 582.96 : x
  2. Step 2: Convert to fraction form
    974.22/1,461.18 = 582.96/x
  3. Step 3: Cross multiply
    974.22x = 1,461.18 × 582.96
  4. Step 4: Simplify right side
    974.22x = 851,809.49
  5. Step 5: Solve for x
    x = 851,809.49/974.22
  6. Step 6: Final answer
    x = 874.35

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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.