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Finding the Fourth Proportional to 974.09, 1,457.54 and 584.31

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Solution

The fourth proportional to 974.09, 1,457.54 and 584.31 is: 874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.09 : 1,457.54 = 584.31 : x
  2. Step 2: Convert to fraction form
    974.09/1,457.54 = 584.31/x
  3. Step 3: Cross multiply
    974.09x = 1,457.54 × 584.31
  4. Step 4: Simplify right side
    974.09x = 851,652.28
  5. Step 5: Solve for x
    x = 851,652.28/974.09
  6. Step 6: Final answer
    x = 874.31

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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.