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Finding the Fourth Proportional to 839.09, 1,257.05 and 578.77

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Solution

The fourth proportional to 839.09, 1,257.05 and 578.77 is: 867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.09 : 1,257.05 = 578.77 : x
  2. Step 2: Convert to fraction form
    839.09/1,257.05 = 578.77/x
  3. Step 3: Cross multiply
    839.09x = 1,257.05 × 578.77
  4. Step 4: Simplify right side
    839.09x = 727,541.13
  5. Step 5: Solve for x
    x = 727,541.13/839.09
  6. Step 6: Final answer
    x = 867.06

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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.