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Finding the Fourth Proportional to 893.10, 1,232.34 and 499.98

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Solution

The fourth proportional to 893.10, 1,232.34 and 499.98 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.10 : 1,232.34 = 499.98 : x
  2. Step 2: Convert to fraction form
    893.10/1,232.34 = 499.98/x
  3. Step 3: Cross multiply
    893.10x = 1,232.34 × 499.98
  4. Step 4: Simplify right side
    893.10x = 616,145.35
  5. Step 5: Solve for x
    x = 616,145.35/893.10
  6. Step 6: Final answer
    x = 689.90

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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.