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Finding the Fourth Proportional to 873.06, 1,204.83 and 523.74

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Solution

The fourth proportional to 873.06, 1,204.83 and 523.74 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,204.83 = 523.74 : x
  2. Step 2: Convert to fraction form
    873.06/1,204.83 = 523.74/x
  3. Step 3: Cross multiply
    873.06x = 1,204.83 × 523.74
  4. Step 4: Simplify right side
    873.06x = 631,017.66
  5. Step 5: Solve for x
    x = 631,017.66/873.06
  6. Step 6: Final answer
    x = 722.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.