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Finding the Fourth Proportional to 897.40, 1,238.43 and 499.09

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Solution

The fourth proportional to 897.40, 1,238.43 and 499.09 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.40 : 1,238.43 = 499.09 : x
  2. Step 2: Convert to fraction form
    897.40/1,238.43 = 499.09/x
  3. Step 3: Cross multiply
    897.40x = 1,238.43 × 499.09
  4. Step 4: Simplify right side
    897.40x = 618,088.40
  5. Step 5: Solve for x
    x = 618,088.40/897.40
  6. Step 6: Final answer
    x = 688.76

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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.