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Finding the Fourth Proportional to 898.35, 1,238.94 and 583.50

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Solution

The fourth proportional to 898.35, 1,238.94 and 583.50 is: 804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.35 : 1,238.94 = 583.50 : x
  2. Step 2: Convert to fraction form
    898.35/1,238.94 = 583.50/x
  3. Step 3: Cross multiply
    898.35x = 1,238.94 × 583.50
  4. Step 4: Simplify right side
    898.35x = 722,921.49
  5. Step 5: Solve for x
    x = 722,921.49/898.35
  6. Step 6: Final answer
    x = 804.72

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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.