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Finding the Fourth Proportional to 1,504.94, 2,256.32 and 580.46

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Solution

The fourth proportional to 1,504.94, 2,256.32 and 580.46 is: 870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.94 : 2,256.32 = 580.46 : x
  2. Step 2: Convert to fraction form
    1,504.94/2,256.32 = 580.46/x
  3. Step 3: Cross multiply
    1,504.94x = 2,256.32 × 580.46
  4. Step 4: Simplify right side
    1,504.94x = 1,309,693.68
  5. Step 5: Solve for x
    x = 1,309,693.68/1,504.94
  6. Step 6: Final answer
    x = 870.27

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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.