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Finding the Fourth Proportional to 897.80, 1,239.00 and 504.82

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Solution

The fourth proportional to 897.80, 1,239.00 and 504.82 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,239.00 = 504.82 : x
  2. Step 2: Convert to fraction form
    897.80/1,239.00 = 504.82/x
  3. Step 3: Cross multiply
    897.80x = 1,239.00 × 504.82
  4. Step 4: Simplify right side
    897.80x = 625,463.26
  5. Step 5: Solve for x
    x = 625,463.26/897.80
  6. Step 6: Final answer
    x = 696.66

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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.