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Finding the Fourth Proportional to 897.50, 1,238.54 and 504.53

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Solution

The fourth proportional to 897.50, 1,238.54 and 504.53 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,238.54 = 504.53 : x
  2. Step 2: Convert to fraction form
    897.50/1,238.54 = 504.53/x
  3. Step 3: Cross multiply
    897.50x = 1,238.54 × 504.53
  4. Step 4: Simplify right side
    897.50x = 624,871.87
  5. Step 5: Solve for x
    x = 624,871.87/897.50
  6. Step 6: Final answer
    x = 696.24

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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.