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Finding the Fourth Proportional to 947.69, 1,421.54 and 289.57

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Solution

The fourth proportional to 947.69, 1,421.54 and 289.57 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.69 : 1,421.54 = 289.57 : x
  2. Step 2: Convert to fraction form
    947.69/1,421.54 = 289.57/x
  3. Step 3: Cross multiply
    947.69x = 1,421.54 × 289.57
  4. Step 4: Simplify right side
    947.69x = 411,632.51
  5. Step 5: Solve for x
    x = 411,632.51/947.69
  6. Step 6: Final answer
    x = 434.35

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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.