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Finding the Fourth Proportional to 947.99, 1,421.59 and 289.66

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Solution

The fourth proportional to 947.99, 1,421.59 and 289.66 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.99 : 1,421.59 = 289.66 : x
  2. Step 2: Convert to fraction form
    947.99/1,421.59 = 289.66/x
  3. Step 3: Cross multiply
    947.99x = 1,421.59 × 289.66
  4. Step 4: Simplify right side
    947.99x = 411,777.76
  5. Step 5: Solve for x
    x = 411,777.76/947.99
  6. Step 6: Final answer
    x = 434.37

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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.