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Finding the Fourth Proportional to 897.91, 1,239.13 and 504.96

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Solution

The fourth proportional to 897.91, 1,239.13 and 504.96 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.91 : 1,239.13 = 504.96 : x
  2. Step 2: Convert to fraction form
    897.91/1,239.13 = 504.96/x
  3. Step 3: Cross multiply
    897.91x = 1,239.13 × 504.96
  4. Step 4: Simplify right side
    897.91x = 625,711.08
  5. Step 5: Solve for x
    x = 625,711.08/897.91
  6. Step 6: Final answer
    x = 696.85

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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.