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Finding the Fourth Proportional to 876.02, 1,313.82 and 459.27

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Solution

The fourth proportional to 876.02, 1,313.82 and 459.27 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.02 : 1,313.82 = 459.27 : x
  2. Step 2: Convert to fraction form
    876.02/1,313.82 = 459.27/x
  3. Step 3: Cross multiply
    876.02x = 1,313.82 × 459.27
  4. Step 4: Simplify right side
    876.02x = 603,398.11
  5. Step 5: Solve for x
    x = 603,398.11/876.02
  6. Step 6: Final answer
    x = 688.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.