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Finding the Fourth Proportional to 897.88, 1,239 and 499.54

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Solution

The fourth proportional to 897.88, 1,239 and 499.54 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.88 : 1,239 = 499.54 : x
  2. Step 2: Convert to fraction form
    897.88/1,239 = 499.54/x
  3. Step 3: Cross multiply
    897.88x = 1,239 × 499.54
  4. Step 4: Simplify right side
    897.88x = 618,930.06
  5. Step 5: Solve for x
    x = 618,930.06/897.88
  6. Step 6: Final answer
    x = 689.32

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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.