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Finding the Fourth Proportional to 897.98, 1,239.22 and 505.00

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Solution

The fourth proportional to 897.98, 1,239.22 and 505.00 is: 696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.98 : 1,239.22 = 505.00 : x
  2. Step 2: Convert to fraction form
    897.98/1,239.22 = 505.00/x
  3. Step 3: Cross multiply
    897.98x = 1,239.22 × 505.00
  4. Step 4: Simplify right side
    897.98x = 625,799.90
  5. Step 5: Solve for x
    x = 625,799.90/897.98
  6. Step 6: Final answer
    x = 696.90

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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.