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Finding the Fourth Proportional to 652.02, 897.57 and 504.37

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Solution

The fourth proportional to 652.02, 897.57 and 504.37 is: 694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 897.57 = 504.37 : x
  2. Step 2: Convert to fraction form
    652.02/897.57 = 504.37/x
  3. Step 3: Cross multiply
    652.02x = 897.57 × 504.37
  4. Step 4: Simplify right side
    652.02x = 452,707.38
  5. Step 5: Solve for x
    x = 452,707.38/652.02
  6. Step 6: Final answer
    x = 694.32

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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.