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Finding the Fourth Proportional to 896.64, 1,237.37 and 498.33

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Solution

The fourth proportional to 896.64, 1,237.37 and 498.33 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.64 : 1,237.37 = 498.33 : x
  2. Step 2: Convert to fraction form
    896.64/1,237.37 = 498.33/x
  3. Step 3: Cross multiply
    896.64x = 1,237.37 × 498.33
  4. Step 4: Simplify right side
    896.64x = 616,618.59
  5. Step 5: Solve for x
    x = 616,618.59/896.64
  6. Step 6: Final answer
    x = 687.70

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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.