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Finding the Fourth Proportional to 652.38, 897.84 and 599.94

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Solution

The fourth proportional to 652.38, 897.84 and 599.94 is: 825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 897.84 = 599.94 : x
  2. Step 2: Convert to fraction form
    652.38/897.84 = 599.94/x
  3. Step 3: Cross multiply
    652.38x = 897.84 × 599.94
  4. Step 4: Simplify right side
    652.38x = 538,650.13
  5. Step 5: Solve for x
    x = 538,650.13/652.38
  6. Step 6: Final answer
    x = 825.67

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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.