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Finding the Fourth Proportional to 600.21, 896.87 and 526.41

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Solution

The fourth proportional to 600.21, 896.87 and 526.41 is: 786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.21 : 896.87 = 526.41 : x
  2. Step 2: Convert to fraction form
    600.21/896.87 = 526.41/x
  3. Step 3: Cross multiply
    600.21x = 896.87 × 526.41
  4. Step 4: Simplify right side
    600.21x = 472,122.65
  5. Step 5: Solve for x
    x = 472,122.65/600.21
  6. Step 6: Final answer
    x = 786.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.