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Finding the Fourth Proportional to 947.30, 1,420.94 and 483.77

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Solution

The fourth proportional to 947.30, 1,420.94 and 483.77 is: 725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,420.94 = 483.77 : x
  2. Step 2: Convert to fraction form
    947.30/1,420.94 = 483.77/x
  3. Step 3: Cross multiply
    947.30x = 1,420.94 × 483.77
  4. Step 4: Simplify right side
    947.30x = 687,412.91
  5. Step 5: Solve for x
    x = 687,412.91/947.30
  6. Step 6: Final answer
    x = 725.66

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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.